[identity profile] bracknellexile.livejournal.com 2011-07-13 02:52 pm (UTC)(link)
That'll be Smile, the Co-Op Bank's online-only bank. They've got very few branches (you can use co-op bank but they're few and far between) so cheque deposit can either be done by post or at the Post Office.

Have had a current account with them for about 5 years and love 'em.