Erm, most games? You're better off asking which games people might remember 20 years from now. You ask me what games released in 2004 off the to of my head I could only remember Halo 2, Half-life 2 and Doom 3 (and this one I remember because of Half-life 2). I'm 100% certain I'm forgetting some huge release from 2004. But that's the thing, only the really memorable games will be remembered.
I could probably mention 20-30 games from the 00s (maybe 50-60 because some series released a lot of games in that time frame. For example Half-life 2, episode 1 and episode 2 make up 3 games, but I remember all of them because of Half-life 2), but over a decade thousands of games were released. The vast majority of games will be forgotten.
20 years from now maybe some old man like myself remembers Space Marine 2, but it will get wiped from the collective memory.