Shadow of The Beast II sold a shit load of Amigas......what could be more influential than that ?
Gran Turismo made me buy my Playstation.
Jimmy White's Whirlwind Snooker - "Real" snooker at last.
Star Wars (the original arcade machine sit-in) was the first 3D blaster I remember, and the first big movie tie-in too. And it had novel joystick.
Yie Ar Kung Fu should surely replace Way Of The Exploding Fist ?
Double Dragon - how many people did not brag about how little they spent to complete this game ?
Maybe even Altered Beast for it's kick ass bad guys at the end, and it's novel power-up mode ?
<Insert-flightsim-name-here>. The Amiga example would probably be F/A-18 Interceptor. But I remember earlier sims on older machines.
Super Sprint (Arcade, with Steering wheels).
Hard Drivin' - at last a "real" car ! haha
You have Pong, which is 2 player tennis....but you're missing Arkanoid/Breakout which is a different style of game if you think about it.
That Duckshoot game - the old Atari one with the real gun.
Pipemania seemed pretty novel to me, or maybe Klax - one of the first "exactly-the-same-as-the-arcade" games I remember. And also Pang.
Xenon II - a game that had music to die by. First tie-in with major musician (Bomb The Bass) ?
And finally......Party Games - the invention of cybersex ! ?