Style: Smashing Pumpkins win this. They always looked very cool and stylish.
Vocals: Have to give this to Radiohead, Thom was able to hit some very big notes back in the day.
Guitars: Billy is a better and more expressive guitarist than Jonny, this is plain to see for everyone, so Smashing Pumpkins wins this.
Artwork: Giving this one to Radiohead even though The Bends and Moon Shaped Pool look crap.
Drums: Smashing Pumpkins obviously.
Likeability: Giving this one to Radiohead even though they’re not really very likeable either.
Innovation: Think Smashing Pumpkins just have the edge here having brought back both the guitar solo and the drum machine a couple of years before Radiohead.