Very tame jackdaw-ish bird seen in churchyard in Worcestershire

Can someone help identify this bird?

Seen in a churchyard in the middle of the evening this week near Droitwich Spa, Worcs.

It was very tame and curious, checking me out even up to 2 feet away, before hopping back but not flying away.

I thought it might be a jackdaw but its beak is the wrong colour. Had a look on various ID lists and can't find anything close to it except a jackdaw.

Any ideas? Thanks!