There have already been some great answers so I will just expand on the areas I know well.
The Pinery has quite a few amenities: golf, trails, tennis courts, their own lake for fishing, 3 large parks including children's apparatus, a basketball court, soccer and softball fields. The Pinery also has an off-leash dog park.
There is also RV storage lot for those who like to travel.
The Pinery Country Club:
Here is a calendar of events coming up:
Some other good sites:
The Pinery HOA:
I must also say The Pinery has its own Mule Deer herd which might be considered its own community group.
There are, as stated below, smaller community groups as well.
I hope this helps your decision on whether The Pinery is a good fit for your lifestyle.