I can't think of many verbs to describe what you do on the rides at an amusement park.
Here are a few possibilities:
I enjoy sailing on the Pirate Ship at Disneyland.
Turning the Tea Cups is fun but it takes a lot of effort.
Moving up and down on the carousel tickles my stomach.
Driving the bumper cars is not advised for people with back problems.
It is thrilling when the roller coaster goes through the first steep turn.
Can you think of some other examples?