I think The Police is an obvious choice, but for me they take a back seat to Low.
Yes I too like The Police, but I did not to be to greedy and 3 was the magic number I was going for.
And we definitely cannot forget:
I'm gonna go with The Police but I'm surprise no one mentioned Nirvana
Blue Man Group
Avett Brothers - Early albums as a three piece are incredible! Check out Migonette & Four Theives Gone
RUSH,HUSKER DU and THE POLICE
I'm happy to see someone listed Shellac. I just saw them live last night. Great show.