We live not far from the Wiltshire border in north west Hampshire. Often "cross-over" without really knowing it. Two of the biggest tourist draws in Wiltshire are:
Couple of the long distance walks I've been doing pass through Wiltshire, both starting, or finishing, at Salisbury:
Salisbury is a very attractive city apart from the monstrosity of the bypass. Some very old buildings and you can see the spire of the cathedral from miles around.