Savers are snapping up shorter-term fixed-rate bonds, which means that they disappear within days of going on sale.
Providers withdraw them from sale as soon as they have attracted sufficient money to fund their current lending.
Top deals include OakNorth Bank, which pays 1.8% fixed for six months. For one-year deals, the current best buy is 2.05% from Tandem Bank, with OakNorth Bank paying 2.02% and Charter Savings Bank and Kent Reliance paying 2.01%.
The top easy-access savings deal is the Marcus account from US investment bank Goldman Sachs, paying 1.5% interest, including a 0.15 percentage point bonus for a year. The top rate without a bonus or any withdrawal restrictions is 1.4% from Charter Savings Bank, Shawbrook Bank and Kent Reliance.