The difference is that in Street Fighter you are controlling a character with set abilities, set moves, set appearane etc that's what separates an RPG because it is all customizable and you can play however you want so basically assuming a role and playing it that way. You can't really do that in non-RPG games.
Originally Posted by BRASSKNUCKLED PAI MEI
So basically RPG console games are todays version of the Dungeon and Dragons dice games from the past.
Pretty much. A lot of RPG games and world's come from D&D games from the 70's and 80's that people created, like Baldur's Gate for example.