I sailed on the Inaugural Oasis and was a crazy person trying to find out information about my upcoming cruise. I never saw anything with regards to parasailing or the like. I did do the zip-line, which was very cool, but that is the closest thing to what you are referring to. It would have been cool though but you wouldn't get very far as cruise ships don't go that fast.
Mariner-05/06 & 10/09
Oasis Inaugural Cruise-12/09
Monarch-03/10 & 07/10
Mariner; RSS- 10/12
S. Caribbean; Serenade; RC; 12/23/2015-01/04/2016
Australia; Celebrity Solstice 11/27/2016