These are organised in their relative direction to Old Stoney Bank and you might be able to enjoy more than one in a day in the same area depending on how leisurely you want to be. I have added a picture and short description (hover mouse over link) of each to help in your planning, then you can link to each place's website (these will open in new windows so you can keep open those you are interested in). Some are in more than one section because they have a garden as well as a house or museum.

Oops the photo seems to be missing!

North - Bradford
Bradford Industrial Museum (40mins)
Bronte Parsonage Museum (50mins)
Cartwright Hall Art Gallery (45mins)
Cliffe Castle Museum (1hr)
Bradford 1 Gallery (45mins)
National Media Museum (35mins)

North - Leeds
Abbey House Museum (45mins)
Leeds Art Gallery (40mins)
Leeds City Museum (40mins)
Leeds Industrial Museum at Armley Mills (45mins)
Royal Armouries, Leeds (40mins)
Manor House Museum and Art Gallery (1hr 10mins)

North - other
Huddersfield Art Gallery (15mins)
Red House Museum (35mins)
Tolson Museum, Huddersfield (15mins)
Bankfield Museum, Halifax (35mins)

Clifton Park Museum (40mins)
Weston Park Museum (40mins)
Graves Gallery, Sheffield (40mins)
Millenium Gallery, Sheffield (40mins)
Bessemer Gallery, Sheffield (40mins)
Abbeydale Industrial Hamlet (40mins)
Shepherd Wheel Workshop, Sheffield (50mins)
Kelham Island Museum (40mins)

National Coal Mining Museum (20mins)
Wakefield Museum (30mins)
The Hepworth, Wakefield (30mins)
Cannon Hall Museum (20mins)
Worsbrough Mill Museum (30min)
Victoria Jubilee Museum (20mins)
The Cooper Gallery, Barnsley (25mins)

Hat Works Museum, Stockport (55mins)
Imperial War Museum, Salford (55mins)
The Lowry (55mins)
Manchester Art Gallery (50mins)
Manchester Museum (45mins)
Museum of Science and Industry (50mins)
Manchester United Museum and Tour Centre (50mins)
Museum of Transport, Manchester (50mins)
Salford Museum and Art Gallery (50mins)
Whitworth Art Gallery (45mins)
Vernon Park Museum (40mins)