As a newcomer to the world of Bitcoin, I've been pretty frustrated by the banking process. So far I can say:

• Barclays is good for Pingit/mobile banking as it shows your name on transfers, improving GBP transaction speed if using a P2P exchange. However it blocks payments to known exchanges such as BitStamp, and also to intermediaries such as OKPay.
• NatWest doesn't show your name on transfers, so is no good for P2P money transfers. But they seem to have approved my transfer to BitStamp, and at a lower SEPA fee than Barclays would (if they ever allow it).

If anyone has info on any other UK banks, it would be appreciated.