The Zombie's invented the phrase "Whose your daddy" How can you not put them in. They have the best Harmonies in a band outside the Beatles IMO.
Rundgren has some great albums, but is also wildly inconsistent. Unfortunate he is known most for his novelty hit "Bang the drum all day"
Kraftwerk and Roxy Music are 2 band swith a very high ratio of influential/success. There's no Radiohead without Kraftwerk, and Roxy Music helped start the whole spectacle rock/glam rock thing while having some great songs.
The Cure is one of my favorite bands. Some of the sappiest corniest lyrics ever made, but with such style it all works. I think there are very few musicians that have written as many beautiful songs as Robert Smith. Some really insane experimental ones too. I can think of sevearl near perfect albums off the top of my head Wish, Kiss me Kiss me Kiss Me, Disintegration, Head on the door, and Pornography. The band is poorly understood, but I get why people don't like them. Lots of 80's synth sounds, and everyone who imitated them sucks.
Devo rules and are from Akron. Gotta put them in, lol. Anarchists like Ween