I have all the Radiohead albums and most of Muse's.
I've never seen Radiohead live, only on the Telly.
Been to see Muse Twice, at Earls Court (vip area) and at Wembley Stadium (I was almost in the pit).
I prefer Muse myself, they are way less serious, yet very competent musicians, and what a show they put on.
It might be they remind me of Queen, no bad thing.