Theres is no competition here. This is my favorite band EVER. I feel in love with them gradually over time but when Kid A came out, they solidified as my top band. I can't explain really why I love them. I heard "creep" and thought this guy has a whiney voice but i don't mind the music.
I guess hearing The Bends changed much of that and then came the monster that is OK Computer.
Here are my favorite songs by Radiohead
Lucky (my all time favorite song)
Talk Show Host
Fake Plastic Trees
Paranoid Android (i was at this show)
high and dry
There are my favorites, enjoy.