2D Fighters to play on Xbox 360

Does anybody have a list about what 2D fighters are available for 360, Live Arcade and original xbox games (that work with 360).

I am trying to find Street Fighter III 3rd Strike and Street Fighter Alpha 3 to play on Xbox 360.

I would also like Marvel vs Capcom 2 but I hear that does not work with the 360 and is really expensive

Sorry for posting a whole thread about this if there is already one, I searched but could not find it. But what can you do, I am still a newb. :confused:

For example, this thread was on this very page.

Even if the search doesnt work, take the time to look. Almost everything you can think of has already been thought of and posted before.