In reply to Sl@te Head:
Here are a few that may challenge people's perceptions of a quarry
Stanage
Froggatt
Hay tor Low Man
Stone Farm
Harrison's Rocks
Chudleigh
...and according to UKC the most popular non grit crag in the UK is The Cuttings, which, although not a quarry, is quarried limestone, and is on Portland; which is essentially a very large quarry!