My neck of the woods, I live in between Leeds and Wakefield 😁
Animals
Lotherton is lovely, they've recently done up their animal enclosure too. Lots of nice grounds to walk around too, plus the house.
Tropical World in Roundhay, then can go on to the park.
Cannon Hall has a nice farm, plus there's the gardens and museum too.
Askham Bryan Wildlife is a bit further away but is really lovely for a day out.
Tropical Butterfly House in Sheffield is lovely, but a bit further away. You can feed a whole variety of animals too.
Museums
The Coal Mining Museum is really good.
Shibden Hall is lovely to walk around, plus there's the grounds and the park.
Abbey House Museum is a really lovely, underated museum. Victorian streets and shops downstairs and then childhood galleries upstairs.
Royal Armouries is great too
Magna in Rotherham is a bit further away but is great if they are in to science.
Other Attractions
Diggerland. I've never actually been but friends have enjoyed it!
Xscape. There's loads there, bowling, food places, skiing, climbing wall.