I'm not from the UK - I'm Australian - but I have written some stories set in England. These are:
Switchboard Girls, Soldiers & Sirens - Set during the WW2 Blitz in Sussex in 1941, two female cousins meet two Scottish soldiers after an air raid.
The Night Louise Left the TV On - Set in London during the swinging 60's, Louise is a typist who has a supernatural encounter late one night in 1966.
The Coal Miner & the Conservative - Set in Yorkshire in 1984 during the UK Miner's Strike, a young miner named Gary meets Felicity, an especially stuck up and opinionated member of the Young Conservatives and sparks fly.
Also, while my story 'The Squabbling Stepsisters' is not set in the UK but Canberra Australia in 2009, the characters of Polly and her mother Lisa are from Manchester England.
If you use the tag 'England' you will be able to find these and other UK stories by other authors. I hope you like them.