sadly, proof of address is a key element required when opening an account and no bank/building society will open a standard account without it.
That said, international banks such as HSBC do offer accounts (HSBC passport) for international citizens where proof of address is not required but a month fee is.
Alternatives you could try to get proof of address;
-If your employer has provided you with a contract of employment or payslip with your current address on it, you may be able to use that.Alternatively, your HMRC P2 'PAYE Coding Notice' which notifies you what your tax code is usually accepted as proof of address alongside a current Drivers License or Passport.
-Contact your local HMRC tax office
-Alternatively apply for a Prepaid Card. Prepaid cards are great for students and those that have little or no credit history. Once the card is sent to your home, use the letter that comes with it as proof of address.
A Prepaid Account Card can also be the perfect alternative to a bank account:
•Some prepaid cards allow you to use them like a bank account and have your wages paid directly to your card's account – without any links to any other account you may have.
•There are no unexpected bank charges and very little paperwork to fill in to get an account.
•Just use it like a bank account, pay bills online and set up regular payments for everything from your gas and electric bill to your broadband.
otherwise the standards forms of proof of address are:
•Utility Bills: gas, water, electric, cable TV or land-line phone bill (not mobile) that's less than three months old
•Local authority Council Tax Bill issued within the current financial year
•UK bank statement that's less than three months old (internet statements aren't acceptable)
•UK Credit Card statement that's less than three months old (internet statements aren't acceptable)
•Tenancy Agreement or Council rent book (must be current)
•Catalogue or Mail Order Statement that's less than three months old
•Hire Purchase Statement of Account
•UK Photocard Driving License with current address and full paper counterpart
•Medical card / NHS Card
•UK Mortgage statement that's less than three months old (internet statements aren't acceptable)
•Motor insurance or Home Insurance certificate issued within the last 12 months