How to set up a Non UK resident bank account?

Answer 1

emigrate

Answer 2

Generally it is rather difficult to set up a UK account if you are not resident in UK (unless you have a few £million to deposit, forget it) = typically the best way is to set up an account in your own country with the local branch of a UK based bank - HSBC is a good choice (they have branches all over) - which then allows you to use UK branches.

If you are, in fact, UK resident, but wish to set up a foreign bank account, you might try a Spanish or French bank (they are used to dealing with "soon to be ex-pats" = so you might have to claim you are emigrating :-) ).. however ALL banks in EU now report customers UK address to the Inland Revenue.

Further afield ( eg. Canada / Australia / New Zealand etc) may also be possible = again they are able to deal with people emigrating from UK = however then you are exposed to exchange rate fluctuations