Hi Jeeza
The first question you mut ask yourself is whether you want to speak British English or American English. I'm not a big fan of Hollywood, so I'll presume that you'd like to speak like an Englishman from what we term the 'Home Counties' (this is the area just north of London where bankers live). If so, I would recommend some older films (many modern British films contain strong regional accents, particularly Cockney in Guy Richie movies). Try
'The Third Man', directed by Carol Reed and starring Orson Welles (a spy thriller set in Vienna in the late 1940s)
'Brazil', directed by Terry Gilliam (ex-Monty Python comedy team) (a comic take on the book 1984)
'1984' and 'Scandal' both starring John Hurt.
'Excalibur' by John Boorman, with an all-star British cast (a version of the King Arthur story)
Any 'Ealing Comedy', which are films made in the 1950s at the Ealing Film Studios, including 'Passport to Pimlico', 'The Lady Killers', & 'The Belles of St Trinians' (not the recent remake).
I would also recommend any film starring Anthony Hopkins, Stephen Fry, James Mason or Emma Thompson - they all have good clear accents and make good movies.
In contrast, you might wish to watch 'Trainspotting' (Glasgow), 'Twin Town' (Cardiff) and 'American Werewolf in London' (Yorkshire) to hear some strong local dialects, just in case you visit Britain where we have a large number of strange and wonderful regional accents.
All the best.