iOS would be a good choice for a jazz game. The character isn't really suited to a big budget AAA games, and epic isn't really in the business of making games for XBLA or whatever (that's more of an indie studio thing). Something new like the iphone/ipad on the other hand would be an excellent platform for a small(ish) game from a big studio.

Of course, Jazz looks a bit odd with a cube for a head, but it's just a tech demo.