The main trio and Draco Malfoy are all from middle-class South-East English families; Ron’s accent might be a little more working class than Rupert Grint’s, but it’s probably natural or close enough.
Alan Rickman’s background’s London working class, so his childhood accent was probably not posh like it is now.
Maggie Smith’s usual accent is RP, though it might have been more estuary when she was a kid, and it certainly wasn’t Scottish (although her mother was Scottish).
Michael Gambon’s accent was probably working class London as a kid, then stage school posh, and he would only have had the accent he uses in the films when he was a very small child in Dublin.
Robbie Coltrane is Scots, definitely not Forest of Dean like Hagrid.
The Weasley family have vastly different accents:
The Dad’s accent is West Midlands - not sure what the actor’s original accent is like, but Worcestershire accents can sometimes be a bit midlands.
The Mum seems to be speaking with a soft Manchester accent or something similar; Julie Walters is from the Midlands but has used lots of different accents in her career.
The twins are both from a town near Birmingham and sound like it.
Ginny has a generic Southern accent which is also probably her natural accent, since she’s from London.
Percy sounds quite posh; I haven’t heard him speak in anything else, but that might be his natural accent, or he might sound like a regular kid from Norfolk.
I can’t remember Charlie’s accent in his brief appearance. Maybe he was Scouse and Bill will be Geordie. 
I assume the Weasleys have moved around a fair bit over the years!