@ Gazette, Nope, I think this is all, expect unlocking Invitation Image, which can be unlocked fully by playing various modes and completing some of them. Each piece makes % rate go up until 100%
Also, for Alt. Costume, you forgot Raiden (Big Bear).
Plus, for Story team pictures, all you have to do is just play scene 25 to fight Dark Ash and beat him with every team, no need to go to the beginning.
And Lastly, you also unlock extra icons in customize for playing and winning in online matches, dunno specifics yet, but I'll find out soon.