Tandem hang gliding over Rio.  In Brazil it's called asa delta (lit: delta wing.)

Hotel front desk can arrange it. 

Your guide will drive you to the top of a very tall mountain.  (Nearly 2000 feet/600 meters).  There is a ramp at the top that goes off a cliff.  You literally run off the edge of the cliff and then drop a few feet until the sail fills with enough air to support you (and your guide.)  You fly over a beautiful residential neighborhood, with very nice gardens, and depending on winds, you land on the beach about 10 minutes later.  You need to be in reasonable physical shape to take off and land (running.) For a better idea, you can see many videos posted on youtube.  

There is risk of injury or death in any stunt like that. 

The guys have a camera attached to the end of the wing.  Ask about extra cost for that when booking.