Solution I have seen around me is more semi-structured groups. I.e. I am kinda sad we missed-out on sunday-school, but I will be trying to get my girl at least to some scouting org :)

The important thing seems to be a balance between the structured activity in the group (I have seen peers that had so many activities, but little connection with the kids they were around, because there is little time to interact in i.e. gymnastic class) and just messing around :)