Anybody can have a basic bank account. Mostly all banks and many building societies provide this type of banks account. It is very easy to open a basic bank account and it does not require much of credit history checks. So, even if you have bad credit history, you can hold a basic bank account. For instance, Barclays, Nationwide, Co operative, and Card One Banking are some of the institutions that provide basic bank accounts for people with bad credit and bankrupts.