Savers can now earn 2% before tax fixed for one year with Atom Bank. It is the first time rates have been this high for 10 months.
But to open an account savers must use an app on their phone or tablet. It is not available through the post or online in the usual way. The next best deal is 1.61% from Secure Trust Bank available online.
If you are willing to tie your money up for 18 months, the best deal comes from Virgin Money, at 1.05% on the high street.
On easy-access accounts internet-based French bank RCI pays a top 1.1% on its Freedom Account followed by Leeds Building Society Limited Edition Online Saver at 1.05%.
Other top rates
Virgin Money Defined Access account pays 1.01%, but you are limited to making three withdrawals at most from your account during the year.
On easy-access tax-free cash Isas, Paragon Bank Limited Edition Easy Access Cash Isa pays a top 1.05%.
Virgin Money Defined Access Isa pays 1.01%, but limits you to making three withdrawals a year. Both accept transfers from other providers.