I was never a fan of The League of Gentlemen. I tried to watch one episode and found it much too self-indulgent and artificially 'weird' (and not particularly funny). But the influence of the quartet, especially Mark Gatiss, on recent UK horror and science fiction, is undeniable.
The 2005 feature film spin-off was aimed solidly at people who watched and enjoyed the TV show. Very, very weird. But it does have probably the only stop-motion three-headed monster in modern British cinema.