"Mum/Mom/Mam" and "Dad" are the most natural in BrE. Until I had lots of friends from the Midlands and Ireland, I would have said only "Mum" there, but I've learnt over the years that that's not the exclusive term.
I imagine there are still some (probably rather upper-class) parents who insist on being called "Mother" and "Father" but certainly not anyone I've ever come across.