My daughter is 4 1/2 and we do swimming lessons at ESF (they'll start soon with signing up for Jan - March, we just got the priority registration forms). They also have other (sports) classes. My friend has a 6 yo who goes to Ballet lessons on South Bay Road (Glenda Allen Dance Academy Ltd.).
Not sure where your child goes to school but a lot of schools have afterschool activities, but for ESF they usually don't start until Year 2 (assuming in that case your daughter is in year 1).