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Sounds like one of the rare times when the video game adaption of a motion picture is actually better than the motion picture. I remember The Hulk (2003) being a similar case. The game actually got me excited to see the movie and the movie was nowhere near as good as the game.
Wolverine for NES (own), X-Men for Sega (I only remember a level playing as Psylocke), X-Men Legends (eh, I don't care for it)... does Avengers (arcade) qualify, I think besides Vision and Cap, you could play as one of the X-Men (I think Cyclops)... I've also played a bit of the Marvel Alliance via Facebook. Though most of the characters I have access to are Avengers.