If you’re in Edale, head-up onto Kinder via Ringing Roger then cross the plateau where it’s narrow and onto the northern edge – which is much less popular than the route that goes round on the Downfall Edge – which is quite cool. Lots of rock formations and views down onto the Snake Pass. Turn left, carry on all the way along the edge then round, past Kinder Corner above Mill Hill and back along the popular side via the Downfall etc. On the northern edge you’ll likely see about three people all day.
Or you can do an Edale Skyline loop around Kinder then across to Mam Tor etc, which is good. Or you can do a complete circuit of the Kinder plateau by the edges – basically as above but slightly extended. There’s scrambling in the area too: Cicerone publishes a guidebook, Scrambles in the Dark Peak, quite a few on Kinder. If you’re feeling bold, you can climb the Downfall, which is a moderate in rock climbing terms and grade 2/3 in winter, but you’d best know what you’re doing on that front. Something like Grindsbrook Clough is more amenable.