Mew - first album Frengers was amazing. Not so impressed with subsequent output, though. Comforting Sounds is an amazing song.
Deus - never really got into them but loved Roses, Little Arithmetics and Suds and Soda from some years ago
Levellers and NMA - aargh! Run, it's folky agitprop. Fiddles and bodhrans and fake Irish accents!
Also:
The God Machine - 90s angsty / grungy. Better than Nirvana, I reckon
Six By Seven - British indie at its best at the turn of the millennium. Criminally underrated, overlooked in favour of post-punk copyist smackheads etc.
Neutral Milk Hotel - American indie bordering on the insane. Big hit with the critics, ignored by the public
Catherine Wheel - initially lumped in with the shoegazing scene in the early 90s but jumped that bandwagon after their first album and morphed into a heavy rock Talk Talk
Ultrasound - another band like Six By Seven who entered the indie world in a blaze of glory at the end of the 1990s and promptly disappeared after confounding the critics with an overblown, immense behemoth of a debut album. Returned recently with a brilliant song called "Welfare State" and were ignored once again.