For anyone interested, here's a list consisting of over 500 games available on the PS3 and if they're worth your time. This list mostly comprises of "first-impressions" of these games. And anything listed as "average" means anything from "It's a functional game" to "I wanted to recommend this, but I cannot justify it". Here we go:
Good
>After Burner Climax
The latest Japanese made entry into Sega's classic arcade fighter plane series
>Alpha Protocol
A spy action RPG that is one of the very few games where your decision actually do matter
>Batman: Arkham series
A series of Metroidvania games where you play as Batman, starring the cast of Batman: The Animated Series
>Beyond Good & Evil HD
An action adventure game that takes place across a galaxy with colorful characters
>Binary Domain
A GoW clone about robots disguised by humans, from the creators of the Yakuza series
>Bionic Commando: Rearmed series
2.5d platformers that are a true-to-the-original reboot of the original Bionic Commando arcade game
>Bioshock 2
An FPS where you're using magical mystery juice to save your daughter from her evil mother in an underwater city
>Blazblue: Calamity Trigger
ASW Guilty Gear successor that is about time paradoxes
>Burnout Paradise
It's Burnout 3 expanded into an open-world
>Call of Juarez series
An American West themed FPS series
>Crazy Taxi
The original arcade game about trying to reach as many destinationas as you can within the time limit
>Darksiders series
An open-world Zelda clone about the Christian apocalypse as if it was done by Image Comics
>Dead or Alive 5: Last Round
The classic 3D fighting game series about beautiful girls beating each other up
>Dead Space series
A third-person survival horror series where you're fighting mutated humans in the depths of space
>Far Cry 3: Blood Dragon
A fun neon-based FPS on an island
>GundeadliGne
>Gundemonium Recollection
A doujin shmup where you're a witch
>Hard Corps - Uprising
A contra video game made by ASW
>Hotline Miami series
Top-down shooters about killing the mob, Russians, and the police
>inFamous series
A sandbox series where you play as a super-powered anti-hero
>Jet Set Radio
The Dreamcast classic about being a rebellious roller-skater
>Lost Planet series
Third-person shooters where your fighting against giant bugs on a dangerous world
>Mirror's Edge
The first-person platforming game where you're running across a city's rooftops
>NiGHTS into dreams...
An HD release of the PS2 port/remake of the original Sega Saturn classic
>Prince of Persia: The Sands of Time
An HD remaster of the 2003 acrobatic platformer using time travel to fix your mistakes
>Pure
An extreme ATV racing game across massive tracks
>Rayman Origins
A 2D platformer were Rayman and his friends must defeat the Livid Dead who have take over the land
>Ridge Racer 7
Bamco's classic racing series where you drive and drift crazy cars across an island
>Sonic Adventure 2
An HD port of the Dreamcast original 3D platformer
>Sonic Generations
A 2D/3D platformer that takes place across nine stages and several bosses from the previous Sonic games
>Sonic the Hedgehog CD
An HD remake of the original Sega CD game with soundtrack selection and playable Tails
>SoulCalibur II HD Online
An HD remaster of the third game in the Soul fighting game series, has both Heihachi and Spawn
>The Tomb Raider Trilogy
All three acrobatic platformers all in one place so that you get the full story of Lara's search for Avalon, inclduing the remake of the original game
>Transformers Devastation
A hack-and-slash game based in the world of the original G1 TRansformers cartoon
>Vanquish
A third-person shooter about sliding around the battlefield and killing foes
>Virtua Fighter 5: Final Showdown
A latest incarnation of the fighter that popularized 3D combat
>WipEout HD Fury
An HD remake of the WipEout Pure and Pulse with new game modes and tracks
>Zone of the Enders: HD Edition
An HD collection of both of the ZoE PS2 games
Recommended
>Battlefield series
A series of military FPS games that take place across a wide range of locations, from the beaches of Japanese controlled islands in WWII to the modern-day streets of Los Angeles
>Bionic Commando
A third-person shooter reboot/sequel of the Bionic Commando series
>Blades of Time
a hack-and-slash game where you're exploring the land of the dragons
>Bloodrayne: Betrayal
a 2D side-scrolling hack-and-slash game where you play as the titular dhampir
>Bomberman Ultra
The classic Bomberman experience with eight players and costumes
>Bulletstorm
A FPS about a band of mercenaries hunting down their former boss
>Castle Crashers
A simple beat 'em up about knights
>Child of Light
a 2D turn-based RPG about a lost dead princess
>CounterSpy
A 2D stealth game where you're trying to sabotage the efforts of both the US and the USSR during the Cold War
>Crescent Pale Mist
A doujin 2.5d hack-and-slash game
>Dark Awake: The King Has No Name
A team-based RPG fighting game
>Deadly Premonition: The Director's Cut
An open-world horror game that's "So bad, it's good"
>Demon's Souls
From's original ARPG that continues to plague gaming to this day
>DiRT Showdown
A demolition derby racing game
>Dragon Age: Origins
The last good RPG Bioware produced
>Duke Nukem 3D: Megaton Edition
The best version of DN3D available on consoles anywhere
>Dustforce
a 2d platformer about mopping the floor, walls, and cielings of dust monsters
>Eat Them!
You are the movie monster destroying the city
>End of Eternity
An RPG with QTEs during battles
>F.E.A.R. series
A horror-based FPS series, with the first game being one of the best FPS games ever made
>Fallout: New Vegas
A first-person post-apocalyptic RPG and what Fallout 3 SHOULD have been
>Fatal Inertia EX
A zero-G racing game
>Fez
A 2D platformer where you can alter the direction of your viewpoint
>Frozen Synapse Prime
A strategy stealth video game
>Fuel
An open-world racing game with a map the size of Conneticut
>Geometry Wars 3: Dimensions Evolved
A top-down twin-stick shooter with abstract shapes
>Ghostbusters The Video Game
A third-persons shooter that stars all the original cast and a story that is literally Ghostbusters 3
>Giana Sisters: Twisted Dreams
A 2.5D reboot of the Giana Sisters platformer, that was itself originally a European clone of Super Mario
>Grand Theft Auto series
An open-world sandbox crime-drama series
>Grid series
A series of arcade racing sims across various styles of races
>Groovin' Blocks
A rhythm-based puzzle game where you're creating a chain of blocks
>Hell Yeah! Wrath of the Dead Rabbit
A 2D platformer where you're a rabbit takign vengeance across Hell
>Hitogata Happa
A doujin shmup where you're a witch
>I Am Alive
An action game about climbing through a crumbling city to find your wife
>Killer Is Dead
A hack-and-slash game where you play as an immortal assassin from the moon
>Knytt Underground
An Metroidvania based in an underground world
>Lair
A dragon-riding simulator
>Lego series
3D puzzle platformers based around the Lego aesthetic and using various licensed properties
>LittleBigPlanet
A simple 2D platformer where you can play dress-up and create your own levels
>Luftrausers
A shmup where you try to survive for as long as you can and can customize your ship
>Lumines Supernova
A rhythm-based puzzle game about clearing out blocks
>Mad Riders
An extreme ATV racing game
>Magical Beat
A rhythm-based puzzle game where you're creating a chain of blocks
>Magrunner: Dark Pulse
A first-person puzzle platformer
>Malicious
A game where you fight against various bosses and gain their powers
>Metro: Last Light
An FPS where you explore Russia after a nuclear holocaust
>Military Madness: Nectaris
A grid-based strategy game based on the moon
>Mindjack
A GoW clone where you can turn enemy NPCs into allows and even directly control them
>Minecraft: PlayStation 3 Edition
The block-building sensation that's taken the world
>Mini Ninjas
A 3D platformer where you're a ninja
>Monkey Island 2: LeChuck's Revenge - Special Edition
The classic adventure game with optional updated graphics
>Moon Diver
A Strider clone where you're moon warriors trying to save the Earth
>Motorstorm: Pacific Rift
An offroad racing series with a wide variety of cars
>Need for Speed series
A racing game series about driving and customizing the latests and fastest across a large open-world city
>Oddworld: New 'n' Tasty
A remake of the original 1997 platformer where you're saving your race from becoming dinner
>Operation Flashpoint: Dragon Rising
An open-world mission-based FPS where you're fighting for the Russians against the Chinese on a random island over oil
>Outrun Online Arcade
An HD port of arcade version of OutRun 2 SP
>Pac-Man Museum
A collection of nine Pac-Man video games released over the years
>Payday series
An FPS where you're a gang of bank robbers trying to make the big score
>Pier Solar and the Great Architects
An HD remaster of the independently released Genesis RPG where you're trying to save your father
>Qruton
A block rotation game where you're trying to fix a spell that turned your teacher into a monkey
>rain
A puzzle platformer where you're chasing after a girl while avoiding water monsters
>Ratchet & Clank: Quest For Booty
The second entry in the R&C Future trilogy where you're fighting robot pirates
>Rayman Legends
A 2D platformer where Rayman must once again save the land from evil
>Red Johnson's Chronicles series
An adventure series that takes place in a Soviet controlled American city
>Resogun
A shmup where you're saving the last humans held in containment
>Retro City Rampage DX+
A top-down sandbox game where you go on an 80's pop-culture inspired crime spree
>Rock of Ages
An action-strategy game where you throw boulders at the enemy's gates
>Rocket Knight
A follow-up to the classic Genesis 2D platformer
>R-Type Dimensions
An HD remaster of the original R-Type shmup that allows you to switch between the modern and classic graphics
>Saints Row series
An open-world sandbox crime-drama series about being the biggest street gang in the city/universe
>Scott Pilgrim VS. The World: The Game
A retro-styled beat 'em up based on the comic series that ruined an entire generation of women
>Sine Mora
A shmup about furries going to war against each other
>Spelunker Collection
A compilation of Spelunker from the Atari 8-bit systems, the NES, and the arcade
>Spelunker HD
The classic Spelunker game but for a new generation, and can switch between the new and NES graphics
>Splatterhouse
A reboot of the Bamco classic beat 'em up where Jason tries to save his girlfriend from Dr. Frankenstein, also includes Splatterhouse 1-3 as unlockables
>Stealth Inc. series
A 2D puzzle platformer with an emphasis on stealth
>Steredenn
A shmup where you upgrade your ship using power-ups found in each stage
>Strider
A 2.5D Metroidvania reboot of the original arcade hack-and-slash game
>Strong Bad's Cool Game For Attractive People
An adventure game staring the cast of the Homestar Runner webseries
>Super Robot Wars series
A strategy RPG series that's a crossover of Japan's various mecha franchises and series
>Super Stardust HD
An top-down shooter where you're destroying asteroids and aliens
>Supersonic Acrobatic Rocket-Powered Battle-Cars
It's the beta for Rocket League
>Superstars V8 Racing
A car sim focussed on cars with eight cylinder engines
>Teslagrad
A 2D platformer where you control magnetism
>The Darkness series
An FPS series about a hitman with magical powers, based on the Top Cow comic series
>The House of the Dead 4
A port of the fourth entry in the classic horror-themed rail shooter series
>The Last Guy
An arcade survival game where you're trying to lead people out of cities infested with monsters
>The Legend of Korra
A beat 'em up where you play as the worst Avatar, but it's made by Platinum
>The Orange Box
A compilation of the Half-Life 2 trilogy, Portal, and Team Fortress 2
>The Pinball Arcade
A pinball simulator where you can play dozens of real-life pinball tables
>The Secret of Monkey Island - Special Edition
An HD remake of the classic 1990 adventure game, with the ability to switch between the new and old graphics
>The Simpsons Arcade Gme
A port of the Konami arcade beat 'em up where you're off to save Maggie
>The Wolf Among Us
An adventure game where you're a werewolf detective solving fairytale crimes, based on the Fable comic series
>Thexder Neo
A remake of the mecha 2D platformer where you navigate environments by switching between plane and robot mode, also includes the original PC-88 game
>Thunder Wolves
A flight combat game where you're a helicopter pilot
>Tony Hawk's Pro Skater HD
An HD remake of the 1999 skateboarding game with new content
>Toukiden series
A series of Monster Hunter clones focussed on the player fighting against Japanese demons and monsters
>Trash Panic
A Tetris-like puzzle game where you're trying to efficiently place and break trash in a garbage can
>Trine
A 2.5D puzzle platformer about a knight, a magician, and a thief saving a kingdom
>Tron: Evolution
An acrobatic platformer where you're a security program protecting the grid, servers as a prequel to the 2010 film Tron: Legacy
>Uncharted series
A cinematic third-person shooter about a treasure hunter going on grand world-spanning adventures
>Valiant Hearts: The Great War
A 2D puzzle game about various soldiers during The Great War
>Virtua Striker
A port of the original arcade soccer game
>Warhammer 40,000: Kill Team
A top-down shooter based in the Warhammer 40,000 universe
>Warhammer 40,000: Space Marine
A hack-and-slash third-person shooter where you're fighting against space orks
>Warriors/Musou series
A battlefield hack-and-slash series with entries taking place during the Trojan War in Greece and Turkey, the Three Kingdoms period of China, the Hundred Years' War in Europe, the Sengoku Era of Japan, the Univere Century timeline of Gundam, the One Piece manga, the Hokuto No Ken manga, the Heroic Legend of Arslan light novel, and several crossovers starring characters from the Dragon Quest series or from Koei Tecmo's catalog of properties
>Wet
A hack-and-slash third-person shooters with bullet time and a love-letter to 70's action films
>XCOM: Enemy Within
A turn-based strategy game where you're fighting against an alien invasion
>X-Men: The Arcade Game
A port of the Konami arcade beat 'em up based on the failed cartoon pilot "Pryde of the X-Men"