Another blast from the past....
After the Festival of Britain on the South Bank was demolished,(criminal, that was,)they built a childrens playground on the site which I guess must now be near where Jubilee Gardens is situated. I spent many a Summer Sunday over there as a kid. Among other things there were sand pits, tunnels that you could crawl through and a big wooden replica of a steam trian to play on. Some of you 'mature' people must remember it. The only two things that remained after the Festival was the Festival Hall and a restaurant at the end of a pier that jutted out over the Thames. That too has now long gone, but I would like to know how long it remained.
I also live in the Shad Thames area and take my 2-year-old to the new playground at the bottom of St James' Road (in SE16) located in the church grounds. It's only a ten minute walk from here and is ideally suited to his age group.
I second JGarcia's welcome to Riverside Parents' soft play and join up as a member for free at www.riversideparents.co.uk and you can send an email round to all our members on the bulletin asking for their suggestions too.
There are a few little parks round here to ring the changes a short walk from Shad Thames. We like Druid Street (next to the soft play sessions)