How about a day of sledging on the Pilatus? Fräkmüntegg is some 45 minutes from Lucerne in winter; a panoramic gondola cableway takes you from Kriens all the way up to Fräkmüntegg.
Sledges can be hired at the upper terminus of the cableway: they include Family Flizzers, Ghosky Rebels, Zipfelbob mini-sleds and airboards.
The 200-metre run on Fräkmüntegg and the 4.8 km blue run leading from Fräkmüntegg to Krienseregg are easy. The runs with red markings from Fräkmüntegg to Krienseregg (3 km) and Krienseregg to Kriens (4 km) are medium to high in terms of difficulty.