In reply to Steve Halfpenny:
Most of the suggestions below have either ended up as highballs, routes, or solos - as such please accept my apologies if you're looking for something more modest in height. That said, despite it's less than user friendly appeal, they are all in a class of their own. All the ones I've done are amazing and all the others are the ones I most want to do!
The Block at Black Rocks has to be one of the best slabs around, the only caveat being that the mantleshelf to get up into the gutter/runnel could be problematic if it's your right shoulder that's out of action (left should be fine). If you do manage to get through
Velvet Silence (E6 6c) is arguably my favourite 7a+ in the Peak and
Jumpin' on a Beetle (E6 6c) +
The Angel's Share (E8 7a) need little introduction...
Pressure Drop (f7A+) and Satin provide a good duo at Stanage Plantation. Depending on your shoulder
Silk (E5 6c) provides a great 7B when climbed to the top too, it's just the start that could aggravate things. If you find those easy then there's always
Shirley's Shining Temple (f7C), which has an obscenely hard start and an obscenely high finish.
Froggatt has already been mentioned, but
Downhill Racer (E4 6a) is a total classic.
Great Slab (E3 5b) and
Artless (E5 6b) are also worth a look, with the latter being relatively straightforward if you've got a good reach.
Benign Lives (E7 6c) is another one I'd love to go back for, feeling in/around the 7A+ mark, but needing quite a few pads.
Further north,
Psycho (E5 6b) at Caley is another total classic and the Direct Start is well worth doing if you found the main route easy enough to justify going up there again!
Sure there's around 101 other problems I've forgotten, but having just got back from a somewhat mad weekend at Kendal I don't think my mind is firing on all cylinders - as such I'll send through some more ideas + suggestions as/when I can think of some.