Like littleoldme, I can't stand Scouse. why is this controversial? And, (in view of previous posts), to be even more controversial, I quite like Brum/Black Country. I don't care for Estuary/London much (careful, since I work there).
My favourite accent is not Geordie, but rural Northumberland (it's like Geordie but the "r"s are more gutteral and the vowels even more Scandinavian than Geordie is). The regrettable thing is, that many of these accents are dying out, especially in rural areas. I grew up, and still live, in Sussex, and I haven't heard a Sussex accent in years!
Another accent I quite like is the Norfolk/Suffolk accent (little known outside those parts).