Here is a very long list of great 1980/90s games that I have played, In random order.
Descent 3 (Windows, 1999)
Team Fortress Classic (Windows, 1999)
Quake (Windows/DOS, 1996)
RollerCoaster Tycoon (Windows, 1999)
PaRappa The Rapper (PlayStation, 1997)
Tamagotchi (GameBoy, 1997)
Super Mario Bros. Deluxe (GBC, 1998) (My copy's glitched, not bricked, though, but glitched, It was the previous owner's fault, though. Worst part is the later worlds, prompts me to put it in a GBC at random, when I AM on a GBC.)
Super Mario World (SNES, 1990)
The Elder Scrolls: Arena (MS-DOS, 1994)
The Elder Scrolls II: Daggerfall (MS-DOS, 1996)
Doom (MS-DOS /windows if you count Doom '95, 1993)
SimCity 2000 (Windows/MS-DOS/Macintosh, 1994)
SimCity (MS-DOS/Mac/SNES 1989/1991)
The Legend Of Zelda: Ocarina Of Time (N64, 1998)
The Legend Of Zelda (NES, 1986)
EarthBound (SNES, 1994)
Mariopaint (technically it really isn't a game but whatever) (SNES, 1992)
Harvest Moon 64 (N64, 1999)
Super Mario 64 (N64, 1996)
Goldeneye 007 (N64, 1997)
Star Fox 64 (N64, 1997)
Half-Life (Windows, 1997)
Quake 2 (Windows, 1997)
Quake 3 Arena (PC, 1999) (But I won't fight if you prefer UT99)
There are a few games that would have been on my list if it wasn't filtered to 80s/90s, like The Sims 2 or Pokemon Puzzle Challenge, but they're eatly 2000s so they can't fit.