Playing games like "123 Red Light" or "Simon Says" are fun activities to do with children while babysitting. Coloring or watching movies are some other activities kids often enjoy.
With the parents' permission, taking the children to the local park is also a fun babysitting activity. Crafts like finger painting are enjoyable for young children, particularly when edible ingredients like yogurt are used. Reading aloud to children can be a fun activity, as well, particularly when a tent of pillows and blankets is made on the floor where kids can enjoy a snack like popcorn while listening to the story.