West Bromwich Building Society has launched its Websaver Limited Access account at a top 1.4% before tax (1.12% after tax). But you are limited to making just three withdrawals a year.
Coventry BS also pays 1.4% (1.12%) and allows you a more generous 12 withdrawals a year, but you have to run the account through the post.
The top easy-access account with no withdrawal restrictions is Tesco Internet Saver at 1.35% but it includes a 0.6 (0.48) percentage point bonus payable for the first 12 months.
The best deal with no withdrawal restrictions where the rate is not boosted by an initial bonus is 1.3% (1.04%) from Virgin Money and GE Capital Direct.
Kent Reliance pays a higher 1.5% (1.2%) but the account is only available from its nine-strong branch network.
Top fixed-rate deals include Kent Reliance at 2.01% (1.61%) for one year or Kent Reliance and Investec both at 2.3% (1.84%) for two years.
On easy-access cash ISAs you can earn a tax-free 1.6% from Cheshire and Derbyshire building societies or 1.55% from Kent Reliance.
On fixed-rate cash ISAs Kent Reliance pays 1.75% and both Tesco Bank and Aldermore Bank offer 1.65% fixed for a year. For two years Kent Reliance pays 2.1% and Nationwide 2.05%.
This article was written by our sister website Money Observer.