This game have the original storylines from SF/SSF IV?

Just curious because all I have is the original SF IV.  Does all 3 titles (orginal, SSFIV, SFIV:AE) have different single player story modes that are only available with their respective releases or can I expect to have every cut scene if I buy the arcade edition?  I like going through the story modes of each character and just wonder if I will miss out by not buying SSF IV?  Also I will keep my copy of SF IV if cut scenes are exclusive to that.  I know that arcade edition is the one to own but I'm anal about having all the cut scenes.