There's a public footpath running through Wisley
Map here:
www.streetmap.co.uk/map.srf?X=506652&Y=158516&A=Y&Z=115
Park where the P is with the arrow.
Cross the road, take the footpath that leads to the River Wey. Goes through Wisley gardens.
Wisley Common is also quite nice, there are rare cattle and you can visit the Semaphore Tower.
In season, the pick your own farm at New Haw is great. Pick some, eat some - they don't seem to mind. www.crockfordbridgefarm.co.uk/aaw/websites/crockfordbridgefarm/crockfordbridgefarm_pick_your_own.htm
It's an easy walk from Weybridge:
www.streetmap.co.uk/map.srf?X=505806&Y=164071&A=Y&Z=115 - from Weybridge proceed along the Wey navigation to Mill Pond, and then cross the navigation and follow the path around to the farm.
Goldsworth playground has indeed been recently upgraded. It's not wonderful though. It's nice in that it's next to the lake.
From Fairoaks airport, you can walk to the McLaren facility and try to peer at the F1 cars through the windows. www.streetmap.co.uk/map.srf?X=501247&Y=161773&A=Y&Z=115
From McLaren you can walk to Horsell Common, with its sandpit.
For any child with a bicycle, Brooklands Community Park is exceptional. Nearly adjacent is Mercedes Benz World, which is free, and usually has cars going round very fast outside.