There are two types of trapeze - the 'flying' one which involves multiple trapezes and large swings, and the static trapeze that is more acrobatic. This post is mostly about the flying Trapeze.
The static trapeze is similar to doing yoga while in the air. It's fun, but everything get's better when you start swinging.
Everyone knows about "The Daring Young Men on the Flying Trapeze". You climb up a rope ladder, grab hold of a swing, swing out then get grabbed by a more experienced person, stronger person on another trapeze. Then they let you go and you fall into a hammock like net. I think of it as a more grown up version of the playground equipment.
They start you out with a safety harness. In my opinion, it's safer than being driven somewhere in a NYC taxi.
It takes some muscle, takes a bit of work to learn how, but it is cheap - if still on the high side of cheap to try. If you weigh more than 205 lbs or so, it becomes more problematic but not impossible to do.
It tends toward a younger crowd - mostly 20's and 30's. They take kids as young as 6 - they even offer birthday parties. It trends a bit more female than male, but there are plenty of men.
The scariest part is actually climbing up the ladder to the platform for the flying trapeze. Once you actually get on the trapeze, everything happens so fast that you don't have time to be scared. If you are nervous but not terrified of heights, this is a good intermediate step to cure you. I came away with less fear of heights than I had after.
I had a lot of fun.
My first flying trapeze lessons were taken at:
They have schools in four other major cities, so check out the link even if you don't live in NYC.