The Tudor manor house is nice enough, but I really like the gardens - especially the walled Carolean flower garden with sunken pond, but best of all the 17th-century Yew Garden. OS Grid Reference SP173722 (see map by Streetmap.co.uk).

Roses along one wall of the gardens:

Snow at the edge of the Yew Garden (4th March 2006):

Looking at the Packwood House across its frozen lake (4th March 2006):

Another NT property, Baddesley Clinton, is very close by and you could easily do a combined trip - they even offer a discounted combined ticket.