Of 1991-92 titles, I'd add the ones you mentioned plus Gradius III, Super Ghouls n' Ghosts, Pilotwings, ActRaiser, U.N. Squadron, Wanderers From Ys, Street Fighter II, Final Fantasy IV (II), Contra III: The Alien Wars, Legend Of The Mystical Ninja, SimCity and, for the hell of it, Mario Paint. There are other smaller games from back then that I might still like but God knows if I'll ever play them again...I'm looking at YOU, Super Scope 6!!
But the Mortal Kombat thing can't be understated. It sent a clear message to young teenage gamers: we're gonna side with your dorky uncool parents and not you. Sega's people were probably laughing their asses off through the whole scandal just like Square fans were probably dumping Nintendo in droves in 1996-97.
In 1994-95 we got Final Fantasy VI, Super Metroid, EarthBound, Chrono Trigger, Donkey Kong Country (not really a great game anymore, I guess), Diddy's Kong Quest, Super Mario RPG, Mega Man X, Mega Man X2.
Crap, I forgot StarFox was 1993...I always had it as 1992 in my mind!
Street Fighter II Turbo had better graphics and music than Street Fighter II Special Championship Edition for the Genesis (can't remember why they had to call it that) but I know there are people who prefer the Genesis game...uh, can't really remember why though.
I don't know how big Super Bomberman was, I know Bomberman fanatics obviously loved it. I'm not terribly familiar with that series at all, the game from it I'm most familiar with is Wario Vs. Bomberman, which I played for about 15 minutes once, as Wario.
I can remember Secret Of Mana getting strong reviews in game magazines and I think Nintendo Power even put it on their cover. Dorky a magazine as NP could be they always tried to stick up for RPG type stuff, and this is back when RPGs, for all their acclaim, sold really poorly, which is why Final Fantasy V was not released in America at the time.