the Sega Genesis Collection (PS2, PSP) use an emulation of the Genesis Golden Axe.
pretty much the same for the Golden Axe in Sega Smash Pack for Dreamcast and PC.

the GBA version is a slightly modified version of the Genesis game.

I haven't played the XBLA Golden Axe, but it's a direct port of the arcade, with extras like achievements and such. the XBLA version is the FIRST time that the actual System16-based arcade Golden Axe has been brought to any home platform.