So, Star Control 2, my favourite game of all time, had some great music (among many of it's incredible things) for it's time. Each alien theme fit it's species like a glove.
Lazy eyed Commander Hayes, of the Earth space station, and his never ending techno dance party.
https://www.youtube.com/watch?v=dXeMgY4gpQQ
The silicon based cyborg race, the Chmmr, one of humanities only staunch allies.
Ruthless backstabbing space capitalists, the Druuge of the Crimson Corporation.
The tragic Yehat, matriarchal warrior pterodactyls, forced into fealty in order to save their honor.
The blustering Thraddash, a species so full of their own shit, they've nuclear holocausted themselves back into the stone age several times.