I didn't make pic related, nor did I check when it was made or what's in it
Zelda on SNES is a good start, Minish Cap on GBA is the only one I ever beat so I can safely recommend that one. Link's Awakening on Switch is pretty dang good too and it should emulate well.
If you want clean racing, there's Daytona and Need for Speed games up the ass. I prefer combat racing, so Burnout 3 is an easy classic noone would argue with.
Most early id shooters are classics for a reason because despite their internal strife, those nerds made some good fucking games. Their still-active mod scenes are a testament to their well crafted formulas.
Resident Evil 1-4 are no doubt classics, REmake 2 was damn fun, especially with mods.
Kirby: Nightmare in Dreamland on GBA was a lot of fun. Deceptively simple fun.
Diablo II is a no-brainer, just make sure no to play the "Resurrected" edition, it runs like ass.
Postal 1 for a trip. Postal 2 for fun. Serious Sam TSE for catharsis.
Just Cause 2 is one of the best non-Spider-Man sandboxes out there.
Psychonauts is charming. So is pretty much every P&C LucasArts game from back in the day (Day of the Tentacle, Full Throttle, Indiana Jones: Quest for Atlantis, Grim Fandango).
Uplink is pretty unique or at least it was when it came out. Or maybe it was a throwback to the older PC games like Shadow President.
Streets of Rage was fucking great and I prefer it to Final Fight (me). SoR Remake bundles a bunch of SoR games into one neat package, look it up.
Been thinking about finally beating Descent I have installed somewhere on an old laptop. There's a port of 1 and 2 for modern systems as well: https://www.descent2.de/d2x.html
Hope you've already played Westwood's classic Command and Conquer strategies or at the very least Red Alert 2. Or Ol' Blizzy's Warcraft 3. Or WH40k: Dawn of War. Homeworld has a pause button, so I don't know if you'll want to play it, but god damn does that game have character. You can't help but respect it.
Ace Combat, Armored Core, Mount & Blade, Leisure Suit Larry, Strider, Earthworm Jim, Super Metroid, Max Payne, Return to castle Wolfenstein, Duke Nukem 3D, Neighbors from Hell, Oddworld: Abe's Oddysee, Crash Bandicoot, Panzer Dragoon, Outnigger, Time Crisis, Gauntlet, S.T.AL.K.E.R., F.E.A.R.,...
So many games man