We recently started soccer with our little one, which sounds crazy since he's only 18 months, but Arena Sports has a class for 18-24 month-old toddlers. The great thing for me is the class is on a Saturday so it's something a working parent can participate in (it seems as if all parent-child classes are during the work week).
You can pay for the full session or pay as you go, and the cost is the same. Also, the first class you can do for free as a trial, which we did. I was a bit concerned since my son is still a "new" walker, doing the penguin thing. But, he fit in just fine.
The class was 40 minutes long (perfect amount of time for this age group), and the "drills" were fun and tailored to the age group...and the coach was at ease which is good since they were definitely wandering toddlers beating to their own drum.
I think my son enjoyed the end the best, when the Coach blew bubbles for them to catch.
Parental advice: Have some coffee before you go because being around so many energetic toddlers at 9am will make you TIRED!