I wouldn't wish to recommend Royal Bank of Scotland as a bank - Fred the Shred etc - but have not (yet) taken my accounts away from them largely because their internet banking seems to work without causing me any problems. In the past it was IE only, but now works fine with Firefox; you need the 'card in plastic box' business only for a few functions (e.g. setting up new payee); and it doesn't inflict "Verified by Visa" on you.
I had been thinking about opening an account at A&L, but this thread has probably persuaded me otherwise.