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).

Oops the photo seems to be missing!

Kirkstall Abbey (45mins)
Lotherton Hall Bird Garden (45mins)
Thwaite Mills Watermill (35mins)
Roundhay Park Tropical World, Leeds (45mis)
Steeton Hall Gateway (50mins)
Spofforth Castle (1hr)
Keighley and Worth Valley Railway (45mins)

Chesterfield Open Market (1hr)
Poole's Cavern (1hr)
Treak Cliff Cavern (50mins)

Elsecar Heritage Centre (1hr)
Monk Bretton Priory (30mins)
Roche Abbey (50mins)
Barnsley Market (25mins)
Yorkshire Sculpture Park (20mins)
Yorkshire Wildlife Park, Doncaster (1hr)
Tropical Butterfly House, Shefield (45mins)

Marsden Tunnel End (15mins)
Holmfirth Vinyard (10mins)