Swedish-owned Ikano Bank has launched its first easy-access account paying 0.8%.
Other top deals include Virgin Money at 0.95% on its Defined Access Saver 9, available online, through its branches or by post. You are limited to three withdrawals a year - make more and the rate drops to 0.25%.
Post Office Online Saver pays 1.01% but this rate includes a 0.76% bonus which only lasts for 12 months. After than your rate plummets to 0.25%.
Leeds Building Society pays 1.3% fixed until 2 April next year and gives you access to half your cash in the bond during the term without paying a penalty.
The best rate on easy-access cash Isas comes from National Savings & Investments Direct Isa at 1%. You can't transfer your existing cash Isas into this account.
The top deal for transfers is Virgin Money Defined Access Isa, available online, through its branches or by post, at 0.95%. But you are limited to making three withdrawals a year. If you make more, then your rate drops to 0.5%.
Family Building Society Market Tracker Isa pays 0.9% with no withdrawal restrictions and accepts transfers.
This story was originally written for our sister magazine, Money Observer.