Here's a selection of National Trust places which have play areas for children.
In England
Buckinghamshire
Waddesdon Manor has a small children’s playground near the house with swings
Cambridgeshire
Wimpole Home Farm has an adventure playground for 5-11 year olds and a working farm
Cheshire
Lyme Park has an adventure playground and in the park you can see the deer or visit the lake where Darcy emerged in the BBC production of Pride and Prejudice
Quarry Bank Mill has new features in the adventure playground for 5-11 year olds
Tatton Park has an adventure playground, working farm with rare breeds and 1,000 acres of parkland to run wild
Cornwall
Lanhydrock has a great adventure playground tucked out of the way at the end of the car park, with a wobbly bridge, monkey bars and stepping-stones
Derbyshire
Calke Abbey has a small children’s play area for under 8’s in the courtyard area near the restaurant with a slide and fort
Devon
Castle Drogo has a children's play area, as well as a croquet lawn (there is a charge) usually open June – September
Killerton has a children's play area, and a discovery centre (check beforehand for opening hours). The grounds include extensive woodland walks, a rustic summer house and Bear's Hut (which was actually once home to a pet bear!)
Dorset
Kingston Lacy has three children's play areas within the parkland shelter belt along the woodland walk
Herefordshire
Berrington Hall has a children's play area with a willow tunnel and two rare breed sheep
Lincolnshire
Belton House has a fantastic large woodland adventure playground complete with under-6 coral. The miniature train offers rides through the pleasure grounds
Liverpool
Speke Hall has a children’s play area at Home Farm Visitor Centre, next to the picnic area, with a range of equipment
Northumberland
Cragside has a fantastic adventure playground with swings, climbing nets, an aerial slide and tunnels in Crozier car park
Wallington has an adventure playground in West Woods
Norfolk
Blickling Hall has a small children’s play area in the walled garden with wooden stepping stones and climbing bars
Shropshire
Attingham Park has a children's play area and environmental activity room in the park
Suffolk
Ickworth House has a challenging children's play area and a family 'trim trail' in the woods
Sutton Hoo has a modern playground with a zip slide (aerial runway) for older children as well as bouncy rockers for smaller ones. They also have a ship-shaped hole for families to play in, reflecting the Anglo-Saxon ship excavated in 1939 with all the treasure in it
Surrey
Polesden Lacey has a fantastic new wooden play area, tucked away in the woods - challenge yourself to get all the way across without touching the floor! There is also a new nature hide
Warwickshire
Charlecote Park has a small wooden children’s play area with a maze and a fort near the carriage collection
Yorkshire
Beningbrough Hall has a brilliant wooden playground, including swings, slides, tyre tunnels and rope bridges
East Riddlesden Hall has a themed children's playground (within the tarrif area) including a climbing 'wall' depicting the Airedale Heifer, swings, slide and animal rockers
Nostell Priory has a children’s play area just outside the tea-rooms with slide, swings and stepping stones (in the tarrif area)
Wales
Chirk Castle has a children’s play area close to the ticket office with climbing ropes, tyres and wooden logs
Penrhyn Castle has a woodland adventure playground with stepping stones, a climbing net and a chain bridge
Plas Newydd has a children's play area in the woods
Northern Ireland
Castle Coole has a small wooden adventure playground beside the grand stable yard for aged 10 and under
Castle Ward has a playground for under 10s and an adventure playground for older children
Crom Estate has a children’s play area near the visitor centre in the orchard area with monkey bars and a seesaw
The Argory has an adventure playground for the under 10s and a sculpture trail