I mentioned Blades of Vengeance because it's my favorite EA game on the Genesis. I have a good number of Genesis EA games, but that's the best one, I think. It's a great, and gret looking, medieval platform-action game with two player co-op and some actual strategy to the gameplay, because of the block system. It's hard, but good.
Other EA games I like include Technoclash, which is a good top-down action-RPG title with a modern-day mage fighting against people with technology and robots and such (hard but interesting game), General Chaos, a popular 4-player multiplayer battle game (it's a single-screen-per-round title where two little armies face off, and you move the soldiers around and try to take out the other guys), Fatal Rewind, a decent sidescrolling action shooting/maze game with robots, James Pond (I have all three, but I think I actually like the first one most... it's interesting, because it's all underwater, instead of being a more conventional platformer like the second and third games are. Also the second game has a million more recent ports, while the first and third games haven't been seen since the Genesis as far as I know...), Lotus (they're both decent, but the first one's a little easier I think; neither is nearly as good as any of the SNES Top Gear games (which are by the same studio), but they're decent.), and The Haunting Starring Polterguy (interesting, unique, but repetitive ghost-scaring-people sim). Galahad is also a good game. It's another fantasy action-platformer. I know that EA's bad fantasy action sidescroller games, Sword of Sodan and Dark Castle, get lots of attention, but somehow the better ones, Blades of Vengeance, Galahad, and Risky Woods, aren't well remembered. That's too bad, particularly for the great Blades of Vengeance. Oh yeah, and I have a couple of the NHL games too. They're fun, though I almost never play them.
I have some more EA games than that, but I've never really liked the Genesis Road Rash games (even though I have all three), and Battle Squadron really is bad. The Faery Tale Adventure really isn't meant for consoles (plus, crazy-long passwords for saving), I've never loved Desert Strike or its sequels either (too slow, not fun enough, and I hate stuff like the fuel limit...), and Mario Andretti Racing is just boring.