Golden Axe sucked to begin with, don't even bring it into this conversation please.
As for the OP? God I love you, Streets of Rage 2 is in my top ten games of all time. The original Streets of Rage is also pretty awesome (love playing co-op just for the evil ending!), but doesn't quite compare to SoR2.
If they were ever going to reboot the series, it'd have to be in 2-d downloadable format, with Yuzo Koshiro once again behind the music. If you thought he lost his stuff with SoR3, then you should check out some of his newer music.
http://www.youtube.com/watch?v=GhIy2j9pYSo
A new SoR with online co-op, leaderboards, a lengthier game (with no autosaving), and some new techniques would rock.
Currently playing: Uncharted: Drake's Fortune, NBA2k11, Metal Gear Solid, Picross 3d