Someone further back on this thread stated that Lloyds TSB will give you an account without proof of address.
This is NOT true, not in my case. A branch of Abbey, Lloyds, and Nat West ALL demanded to see my passport for ID, and a houshold bill for proof of UK address. No ifs ands or buts.
When I argued with each of them that my situation made the address proof impossible and isn't there another way I could be accepted, the staff member I was talking to, who was VERY nice, very understanding and we had a perfectly pleasant conversation, actually GOT OUT A STAFF RULE BOOK, opened it up at the section dealing with what staff must ask for, and pointed out to me the chapter-and-verse, literally, of what is needed to open an account.
At no point was any of this an argument, so they weren't just being difficult with me, nor I with them. All of this was done with mutual courtesy, and their sympathies but also their regrets.
I said I'd try another bank.
They said all banks have this official book to follow.
Some people seem to have not been held to this rulebook, but I was. The only way I wound up getting something at Lloyds was when I landed a live in job -- still no household bill in my name, but at least a letter from my bosses saying I do indeed live in the place.
You might be lucky and have nobody ask for proof of address. But I got the "book thrown at me" almost literally.
On the other hand, I got a break with registering for a GP. The receptionist simply asked verbally for my address to make sure I was in the catchment area, but never even asked to see a household bill (which at that time I still didn't have). So in that case, somebody was not following the "by the book" rules.
Just to put the warning out there that there are supposedly strict rules but "your mileage may vary" and you may get an account with virtually nothing to show them but air to breathe at them, or they may ask for the whole nine yards from you.