Just for my own sake i've compared Golden Axe on the Amiga vs MD: The MD version has faster movements and is nearly full screen. Of course you have to play it in NTSC mode, not in crappy PAL with borders and 50 FPS. It was designed as a NTSC game.
The Amiga version is slower, is more colourful and sounds better. And of course NO full screen (slighty borders left/right, bigger borders up/down). One button controls isn't good here. Jump is on Joy up and magic on an extra key.