Richard uses a Korg Electribe ER-1 during You Haven't Told Me Anything - it continues to play its rhythm during the main body of the song while he's drumming, but he uses the Electribe's built-in effects controls and pads to create the weird sounds during the intro and outro of the song. Note that it's the original Mk. I version, not the Electribe ER-1 Mk. II.

Well, on the live front, Tom has been favouring the wireless Sennheiser SKM 935 series for a number of years now, though I think they also used it wired cousin, the Sennheiser E 935 in the past. Tom has also spoken about how he also likes to use the 935 in the studio, often preferring it to much more expensive mics that are available. Having said that, they have made use of other mics while recording - their web updates during the recording of Perfect Symmetry showed a Neumann U47, for example. But generally, the Sennheiser is the preferred option!