The small National Counties Building Society has raised the rate on its Online Saver to 1.41% before tax (1.13% after tax) from 1.17% (0.94%).
The increase places it as the best deal on internet-based accounts, ahead of the 1.4% (1.12%) paid by ICICI Bank Hisave Supersaver.
Post Office also pays 1.4% (1.12%), but the rate includes a bonus so it drops to 0.65% (0.52%) after a year.
On fixed-rate deals the top rates include National Counties at 1.76% (1.41% ), along with Aldermore, Harrods and Shawbrook banks all at 1.75% (1.4%) for a year.
GE Capital pays 1.92% (1.54%) and Harrods Bank 1.95% (1.56%) for 18 months, while the best deal if you are willing to tie your money up for two years is 2.25% (1.8%) with Harrods Bank.
On tax-free cash Isas the top easy-access account rate is 1.5% with Post Office Premier Isa - including an 18-month bonus - and National Savings & Investments.
You cannot transfer your existing cash Isas into the National Savings Account. Barclays pays 1.49%, but only on balances of £30,000 or more.
On fixed-rate cash Isas Virgin pays 1.7% fixed for one year, while at Post Office you can earn 1.95% for two years.
This article was written for our sister website Money Observer