Persephone Books publish quite a few written during/soon after WWII, including some in translation
There's one by Mollie Panter-Downes that is her reports from London at the time.
I like Barbara Euphan Todd, Miss Ranskill Comes Home, about a woman who finally finds her way home from being trapped on a desert island for a few years to discover rationing and all kinds of change to life as she knew it.
Marghanita Laski, To Bed With Grand Music, is about a woman who starts having lots of affairs while her husband is away.
There are also several translated from several European languages, fiction and non fiction, about life in some occupied countries, refugee experience, and some Jewish experiences of the war, by writers who survived and some who didn't (eg some stories by Irene Nemirovsky re France).