Checked MSE today
They advertise Starling bank in Top accounts if you’re overdrawn
Though it doesn’t offer a 0% overdraft, new app-based Starling Bank* has one of the lowest standard overdraft costs of 15% EAR interest, and unusually it won’t charge you extra if you go over your agreed overdraft limit.
It’s also easy to control your overdraft limit in the app, and Starling will send you real-time notifications when you use your debit card and when you’re about to go into, or are using, your overdraft.
Starling Bank is a new challenger bank, which opened applications to its current account in May 2017. For now it has no fees, though it’s possible that this’ll change in the future.