Genesis - Not sure (Sonic 2 Came with the system).
I had another game then too, but I dunno what it was.
SNES - A Link to the Past (Super Mario World came with the system).
I think I got Legend of Zelda: A Link to the Past (French Version, without realizing it ~_~).
I beat Super Mario World so many times >_> I got Megaman X and played that loads of times too (possibly more than Mario).
GBC - Pokemon Yellow
First Pokemon game....I also managed to get Surfing Pickachu on it XD
N64 - Not a friggen clue...Probably either Mario 64 or something.
I just re-purchased one for Nostalgia's sake XD Got Goldeneye, Shadows of the Empire (Star wars game, awesome stuff), and it also came with Diddy Kong Racing. Donkey Kong Country 64 was a great game. To say nothing of LoZ: Ocarina of Time and Majora's mask.
PS1 - Again, not a clue...
I've gotten a number of games for it, but the earliest ones I recall are a Monster Rancher game, Final Fantasy VIII and
GBA - I think a Pokemon Game
I got the GBA Platinum edition, sold it to my bro for $20 a while after the Micro came out (Didn't buy that mind, just for timeline purposes)...Regretted it as he smashed the thing on his head and busted the LCD...
PS2 - Jak and Daxter: The Precursor Legacy
^Graphics Really WOWed me at the time. I'll probably get the collection on the PS3 at some point. FFX was another early one I got, gorgeous it was (still has aged pretty well actually).
PSP - Untold Legends - Brotherhood of the Blade
I think it was that. Pretty good game IMO. I also got the Dynasty Warriors game around the same time, also good.
360 - TES IV: Oblivion
Though it came with Ghost Recon I didn't care, Oblivion wowed me and it made me purchase a 360.
PS3 - Spiderman III
Yeah, a bit disappointing. Still a fun game, but a letdown from Spiderman II. System came with F1: Championship Edition but I really disliked that game and traded it in for a fair amount of credit.
DS - Pokemon Diamond or Elite Beat Agents
Yeah, again I'm not sure. Pokemon games are often reasons for me to get Nintendo consoles though.
PC - Probably Crysis?
I built a computer that was able to play Crysis, so yeah...First Steam game was probably the Unreal Deal (For UT GOTY and UT3 namely).
3DS - 3 Games (MK7, Starfox 3D, ?????)
Ocarina of Time 3D came with my LoZ themed 3DS. First games I purchased with it though were Mario Kart 7, Starfox 3D, and uhhhh....Well fudge, I dunno >_>
PSV - Super Stardust Delta
Little Deviants came with it, but I bought Delta shortly after. Still haven't played Deviants.