Same scenario with me as with Losi, not that old so none of these games are going to be very old.
Here are a few of my older favourites:
Max Payne 1 and 2 (still my all time favourite games.)
Call of Duty 2 (The 2005 one, still my all time favourite FPS. Still play it often.)
Ghosthunter (PS2 game, was a lot of fun, used to play it a lot, underrated af. IDK if anyone here remembers it?)
Spider-Man (PS1 game from 2000.)
Carmageddon 2 (Old and awesome PC game, I still play it sometimes. Think it came out in like, 1998.)
Hitman 2: Silent Assassin (Was the first game I had when I got a PS2, so uber-nostalgia.)
There's bound to be more but those are just what I thought off from the top of my head.