I "played out" from quite a young age, and that was with a mother who felt sure I'd be run over because of my eyes). Kids used to play out in big groups, and would "knock for" each other, so I guess had safety in numbers. With regards to Dulwich Park, I only really remember playing there whilst my mum was there, but that was at a very young age. Kids who are allowed a bit more freedom don't want to waste it in a kiddies playground, that's just for babies ;-) I used to love Dulwich Woods, and Piers, it was perfect for playing war and abseiling down the hill using vines. It's also an amazing place to let the imagination run wild, because there's so much interesting stuff there! But, I can see why parents are so over protective (and in my opinion it is OVER)... At the end of the day, you may know you're being over protective, and you may know the chances of something terrible happening are miniscule... That wouldn't make you sleep better if something did though! That said, I hope I can let my kids run wild a bit.... So long as it's in a beer garden, and they're annoying some other poor drinker! :)-D