Lol there isn't a phaser that could kill Superman. I doubt there is a phaser the dude could successfully shave with.
This is how a fight would go:
Superman dies a tiny bit inside as he watches a borg slowly lumber towards him. Then he punches its head off. Somewhere in a distant galaxy Hugh sheds a single tear.
__________________ Chicken Boo, what's the matter with you? You don't act like the other chickens do. You wear a disguise to look like human guys, but you're not a man you're a Chicken Boo.