Updated (thanks to Biggles for the Co-op ac), might have to add a few DDs to my dying N&P account before I switch it to Co-op...
Current accounts with interest:Bank of Scotland: (From the 11th June 2017 to be dropped to 2%)
3% on 5K (you can have 3), requires £1000 in/out per month
https://www.bankofscotland.co.uk/bankaccountsTSB:
3% on 1.5K, requires £500 in/out per month & must select paperless billing
(Perks: some temporary 5% deals depending on when account opened)
http://www.tsb.co.uk/current-accounts/Lloyds:
2% on 5K, requires £1,500 in/out per month & 2 DDs
(Perks: free lifestyle benefit, e.g. magazine subscription or 6 cinema tickets)
https://www.lloydsbank.com/current-accounts/all-accounts/club-lloyds.aspNationwide:
5% on 2.5K but only for 1st 12 months, requires £1,000 in/out per month, no DDs
(Perks: access to their regular saver?)
http://www.nationwide.co.uk/products/current-accounts/flexdirect/features-and-benefitsSantander 123:
1.5% on 20K, requires £500 in/out per month, 2DDs, £5 monthly fee
(Perks: 1-3% cashback on selected bills)
http://www.santander.co.uk/uk/current-accounts/123-current-accountTesco: (currently closed due to high demand)
3% on 3K (can have 2), requires £500 in/out per month
(Perks: useful saver accounts which can create DDs)
http://www.tescobank.com/current-accounts/Regular Savers:5% First Direct, £5 - 300 pm, requires a FD current account
http://www1.firstdirect.com/1/2/savings-and-investments/savings/regular-saver-account5% HSBC, £250 pm, must have HSBC Advance current a/c
https://www.hsbc.co.uk/1/2/savings-accounts5% M&S, £250 pm, must have current a/c and have switched an account to this M&S current account, and have 2 DDs on it
http://bank.marksandspencer.com/save-invest/savings-rates/5% Nationwide Flexclusive, £1 - 500pm, must have current a/c (various criteria but FlexDirect is included)
http://www.nationwide.co.uk/products/savings/our-savings-accounts/all-savings-accounts5% Santander, £200pm (from April 3rd), but have to be a 123 World or Select customer
Receive 2.50% for 12 months (or 5% if you are 123 World or Select customer)
http://www.santander.co.uk/info/savings/savings-rangeReward Earners:£3/pm Halifax Reward Current ac, must have £750 in/out per month + 2 DDs
https://www.halifax.co.uk/bankaccounts/current-accounts/reward-current-account/£4/pm Barclays Current ac with Blue Rewards, must have £800 in/out per month + 2 DDs
(Note: there is a £7 pm reward, minus the £3 pm fee)
http://www.barclays.co.uk/CurrentAccounts/BarclaysBankAccount£4/pm Co-operative Bank Current A/c, must have £800 in/out per month + 4 active DDs + opt into paperless statements
(additional reward up to £1.50pm for debit card spending and switching bonus of £110)
https://www.co-operativebank.co.uk/currentaccountUseful Siteshttps://www.bankaccountsavings.co.uk/ - calculate interest earnings & see requirements
http://forums.moneysavingexpert.com/showthread.php?t=608697 - MSE Regular saver thread