Weekend activities for kids in full time nursery?

[Lasvegas]

I have no friends with children so am interested to hear from other mums who have or had their child in nursery full time ie approx 50 hours a week. What outside activities do your kids do at weekends? I worry that I don't do enough with my DD.
My DD is 3.3 and average week end is as follows. Sat buggy dash to ballet class, afterwards library to choose new books, walk home maybe buying fruit from market on way home. This outing can take 2.5 hours as DD picks berries / stones etc on way home. Sunday play ground or walk to feed ducks or buy paper.
I have tried in vain to find other activities, eg music, swimming or gymnastics but nothing is open at the weekend. On other hand DD likes pottering around at home and watching TV. She has no time to play with her toys in the week and watches TV for about an hour before bed in the week. She naps for 2 hours, wakes at 8am and goes to bed at 7pm so the day goes pretty fast.

I am in S W London, the area is so full of pre-schoolers it is called nappy valley! I moved there for that very reason. I didn't do NCT as knew I was in process of moving across London. The 6 months of mat leave I was staying with my mum out of London while house sale etc went through so never went to any mum toddler things. DD only been to ballet 3 times but met a mum last week and had a good chat with her (lot in common)so will ask if she wants to take girls on an outing one weekend.

ds is at nursery about 7 hours a day, 5 days a week.

We don't do regular playdates at weekends or organise too much as I like him to potter and feel that he hasn't got to do anything to a specific time schedule. The main thing is that he spends time with mummy and daddy and knows that we don't go to work on those days.

We make suggestions but ultimately he decides if he wants to do painting or cook some cakes or we mess about in the garden when he wants to but if he doesn't want to do something and wants to watch a video for a whole hour then I indulge him because he doesn't get to do it Mon-Fri. I think it's good for him to get a bit bored and he suggests "shall we go to ball pool mummy/daddy" or "can I go on cbeebies computer" when he's ready. We do read the papers given a chance but usually have to take turns to be passengers on his bus or customers in his restaurant, favourite imagining games at the moment.