I know, I know, it's very popular and it's not technically a bad 2 player NES game.
I just personally prefer my 2 player beat-em-ups to be a bit more fast paced and challenging than Double Dragon II for NES ever was and I've never quite gotten the hype surrounding the title beyond the fact that it managed to include the 2 player arcade mode absent from the earlier title in the series.
I've never played the Mega Drive version, but it looks to be a pretty close port of the arcade game.