We use nursery and a nanny but in summary the DC (DS 6yo and DD 3yo) like doing the same things with them as they would like to do with us or their GP etc. They like lots of things!
Playing in the garden, even though it's not very big, they like drawing with chalk on the patio, watering everything in sight, picking fruit, picnics on the grass, playing in the sandpit. They even like weeding the patio!
Cooking, particularly mixing eggs and icing cakes and biscuits, and cutting up pastry.
Using stickers and tissue and bits and pieces to make pictures, we got a roll of cartoon character wrapping paper and have spent hours cutting out of that and sticking it in various ways.
Listening to story CDs.
DD likes playing with dolls, putting them to bed, dressing them up, putting them in the doll buggy.
DS can spend hours on lego but I see you have that already! He also really like magnets at school, I don't know what these are called but they are like small clicky magnets.
DS also likes dominos, and games like noughts and crosses and Guess Who.
Both DC really like playing with Hotwheels cars and tracks.
They also like their toy dinosaurs and Dinosaur Island wooden place set, it's like a toy castle but dinosaurs.