Hundreds of thousands of people living under seven cash-strapped town halls are set to see council tax bills hiked above the 5% cap from April.
Special permission was given to the local authorities by the Government to ease a "challenging financial position".
Most local authorities can raise their share of the tax bill by up to 5%, without a resident referendum, to help pay for services.
But Shropshire, Worcestershire and North Somerset councils will be able to increase their share by a maximum 9%.
Authorities in Trafford, Warrington and Windsor and Maidenhead can raise bills by up to 7.5%. And Bournemouth, Christchurch and Poole Council can hike their share by up to 6.75%.
It is part of a three-year settlement for local authorities which the Government has finalised, making around £78 billion available to town halls throughout England.
Local government minister Alison McGovern said the deal was designed around "reconnecting funding with need".
"Our local government finance reforms get money to where it is needed, but we recognise that some councils remain in a challenging financial position as they continue to deal with the legacy of the previous system," she said in her written statement to Parliament.
But Steven Broadbent, the County Councils Network (CCN) finance spokesman, warned the next three years "will be very challenging" for the organisation's members.
Local authorities are struggling to balance the books amid the rising costs of providing services, including increases in temporary accommodation and social care bills.
It comes as analysis by the Standard found thousands more Londoners will face average council tax bills of over £2,000 for the first time next year.
Benchmark Band D households in half of London boroughs will see hikes of over £100 to their annual levy from April if bills increase by the expected 5%.
It means Hackney, Hillingdon and Lambeth residents face paying more than £2,000 for the first time, while payments in Wandsworth, which famously has the lowest council tax in the country, will go over the £1,000 mark.
This includes the City Hall precept, which is added by the Mayor of London, Sir Sadiq Khan.
He announced in January that he will increase his share of council tax bills by £20.13 a year.
Five councils in the capital - Wandsworth, Westminster, Hammersmith and Fulham, City of London and Kensington and Chelsea - have been given authority to increase bills by more than 5% in 2027/28 and 2028/29 without having to hold a referendum after having their funding slashed by central Government.
