End tethered, circular pony rides
My 8-year-old granddaughter tells me there are a few farms in rural counties offering pony rides led by a handler who interacts with the child rider along a riding path.
Historically, merry-go-round carousels are wooden horses beautifully painted. Entire families can enjoy the ride together. The horses won't mind the various sizes of their riders either. Woodland Park Zoo in Seattle and Missoula, Montana, have wildly successful carousel rides for only $2.