Hi. There are a few sites you can look at for more information. Best to call to see if they are still active.... especially once Covid19 is over.
Blakehurst bugs (links below) are quite active and have a big impact on the local community.
You could also ask some local churches - besides having playgroup, some have the extra excursions, camps or fun days (Blakehurst Baptist, Mater Dei Catholic)
All are welcome :)
There are other playgroups on Oatley. Check out Pip and Pop Playgroup and Messy little Mates
There are quite a few local preschool / daycare centres in the area as I am a local...not sure about play groups but you could probably contact the above centres for more info