You will need a bank account for reasons including Universal Credit, housing, employment and many other important aspects of life in the UK.
This is only a short list of recommended banks -
you should also do your own research and explore other options, for example, online banks such as
Monzo and
Chase.
If you do not have the correct
proof of address you can try to request a proof of address letter from your GP or visit local support organisations for advice. Note GPs may charge £25+ for a GP letter. You must take your ID with you to request a GP letter.
You may be asked to complete an
online application to open a bank account. If you have any issues with the process take a screenshot of the error and visit the bank branch to ask for an appointment to register for a bank account. Show them the error screenshot and explain you were unable to complete the application online.