MoneySavingExpert.com, which named First Direct as top of its list for the third year in a row, warned its findings indicate that several high street giants still need to up their game as new rules are about to come in which will make it much easier for their customers to ditch their existing bank.
Less than half of current account customers with Barclays, NatWest/RBS, Lloyds TSB, HSBC and Bank of Scotland said they got a great service from their bank.
The consumer help website, which compiled its research from the opinions of more than 8000 current account customers, also found that Santander and Halifax have made some strong improvements in recent months.
The findings come just weeks before new rules to take the hassle out of switching current accounts come into force, which are expected to inject more competition into the market.
Providers often use the relationship they have with their current account customer to sell them other products such as mortgages or credit cards. From September 16, the time it takes to switch a current account will be cut from up to 30 working days to seven and incoming and outgoing payments will automatically move to the new account.