Family and visits
Rudyard Lake
Peak Rail
Welsh beach
Climbing the Roaches
Speedwell cavern
Pooles Cavern
Speedwell cavern
If you're looking for a day off from walking but still have some energy left I can suggest a range of great days out.

Fishing, sailing, and swimming
At Rudyard Lake (fishing and swimming) there's also a sailing club (they run sailing courses in summer), boat hire, and a mini steam train. All the local towns have swimming pools.

Steam trains
Larger steam trains are at Churnet Valley Railway (30 minutes) or Peak Rail in Rowsley (20 minutes). Peak Rail can organise 'self drive tuition'!

Climbing, abseiling, and caving
For the inexperienced or those looking to hone their skills there's an indoor climbing wall at Upper limits in Leek (15 minutes drive): great fun. And for the more experienced the Roaches (and here for a video), one of England's best known climbing areas, is 5 minutes drive away. Aspire Adventure Activities run day (and longer) courses in climbing, abseiling, caving, mine exploration, and orienteering.

Beaches
Blackpool (Pleasure Beach and theme park) is served by a direct train from Buxton station. The beach is good but cheek-by-jowl with all Blackpool's uniquely British seaside shops and stalls. Much less populated and more beautiful is the north Welsh coastline from Prestatyn westwards to Anglesea. Blackpool by train from Buxton takes 2.5 hours. The north Wales coast is about 2 hours drive.

Canal boats
Self-drive narrowboats can be day-hired from Macclesfield (20 minutes) or Congleton (25 minutes) on either the Macclesfield or Trent and Mersey canals.

Sub terranean
These are always popular with the children. There're many caverns nearby: some natural, some erstwhile mines, including Pools Cavern (Buxton), and Blue John, Speedwell (only accessible by boat), and Peak caverns in Castleton (20 minutes).

Spend the day swinging from the tree tops at GoApe in Buxton!

Falconry
Try your hand at some falconry at the Falconry Experience at Roliston (about 1 hour's drive)

Golf
Buxton, Macclesfield, and Leek all have golf courses.

Local towns
Macclesfield was the centre of silk production in the 18th century. Many of the mill buildings are still standing and there are several museums covering this great part of our history. Buxton (10 minutes drive) is a spa town and was built by the Romans, there's lots to see here including some fine Georgian architecture. It's our nearest town and probably has all you'll need in terms of local shopping.