First off...
THIS IS MY FAVORITE BAND
...and has been since 1991. They're good (not great) musicians, but the singer's voice and their variety just clicks with me. Unlike most bands, there's not really any Blur song I really dislike, and that's with over 10 years of music. Out of their 7 albums, all but two are musically unique from each other.
How's this for variety:
Indie rock: Slow Down, Come Together, Advert, Popscene, Chemical World, Wear Me Down, Tame
Dance pop: There's No Other Way, High Cool, Girls & Boys, Parklife
Shoegaze/dream pop: She's So High, Inertia, Luminous
Orchestrations: For Tomorrow, The Universal, Theme From An Imaginary Film, To The End
Punk: Bank Holiday, Chinese Bombs
Mellow/experimental: Out Of Time, Mellow Song, Tender, Caramel, Badhead
Waltz: The Debt Collector, Anniversary Waltz
...I can go on and on.