Golden Axe was released 6 months before Final Fight on arcade.
Golden Axe is a lot better than what we had before on the genre (Double Dragon etc), but after Capcom entered the genre, no one could get even close.
Golden Axe isn't a bad game, I just don't like its mechanics that much. The Amiga had a good port of it. I wish Amiga had a good port of, say, Final Fight itself, Captain Commando or Warriors of Fate, for example
I took a look at Doman... it does have some potential, though its gameplay looks a bit choppy... also it seems to lack a 2 players option?
Even the NES had some good beat'em ups, it's a shame the Amiga doesn't have many good ones.