Here is my list as best as I can recall and compile:
-Contra
Never will forget this sucker. Many nights in '88 and '89 were spent playing this with my brother and uncle. One which will never leave me.
-Godzilla (NES)
I was five years old, I loved Godzilla and this to me was a cool Godzilla game on the NES. I kid you not -- the music at certain points in this game scared me lifeless.
-Double Dragon II
I remember daydreaming about this game!
-Altered Beast
Just blew me away.
-Sonic 1
Ditto. I remember coming home from school one day, and I caught my uncle (the same one who played Contra with me) guiding Sonic through the second zone. At that point in time my uncle was beginning to age and he stopped playing games for the most part. But that day, for one minute it felt like the late 80s again. I'll never forget that sight of seeing his smile as I caught him in the act.
-Michael Jackson's MoonWalker
I actually have a tape that my uncle filmed, and it's hilarious looking back. A small room was crammed to the bone with me and 12 of my friends. We all sat down, our mouths in a euphoria state, as the various Jackson themes pumped through our Genesis into that tiny room.
-Streets of Rage
In a word, awesome. Atmospheric.
-F-Zero
First SNES game I ever played. Unbelievable... the sounds the sights the speed oh my!
-King of the Monsters
First arcade game I ever played, and beat... some odd 26 quarters later. As a kid I loved monsters and wrestling. KOTM? Perfect! Was also the first ever SNES game I bought...
-Street Fighter II
You can almost make a case of this where one could conceivably say, "Before anyone ever did anything, Capcom did everything."
-Mortal Kombat II
I really, really liked it. I even got a "backstage pass" at Target to play the SNES version against the store's employees... that was awesome.
-DooM
Yeah, this was the king. I loved it.
-Corridor 7
Anyone remember this Doom clone from around the same time Doom was released? This game was very sweet, I have a lot of memories with this game. Look out for those Ttocs! ("T"he "T"erminators "O"f "C"orridor "S"even was my little pet name for them, and seriously, they are named Ttocs! It's backward for Scott. Most the enemies' name were backward of the makers of the game. i.e. Janet became Tenaj, James became Semaj, Carlos became Solrac, etc.)
-Resident Evil
Whoa.
-Silent Hill
Wow.
-Clock Tower 1 (PSX US version)
Scissorman, Scissorman... my how I have missed you...
-Super Puzzle Fighter II Turbo
Some of the best good stuff I'll ever play. Can never forget my late night marathons against my cousins who flew over from Texas... good times all right...
-World Heroes
First fighter I ever used was Brocken. I was hooked day one. My old best friend Nelson loved the series as well -- and it was some of the best years and gaming memories of my life.
-World Heroes 2
I about pissed my pants when I first saw this in the corner of my SafeWay grocery store in 1993. I spent more quarters on this game than probably any other arcade game in history.
-World Heroes Perfect
What can I say, this game renewed my passion for video games in general. It is a fine, fine fighting game. I still crack a gut when I see Rasputin's "Secret Garden" Super Special Finish on any male World Hero...
Note. I didn't list Super Mario Brothers because that game really did not have much of an impact on me. It was all about Contra for me. WH2Jet was not listed because although I really liked it, it didn't have the same punch on me as 1, 2 and Perfecto did.