Visiting Wadi Rum, a series of desert valleys punctuating red canyons that run from north to south featured in the movie Lawrence of Arabia, is a must-do when in Jordan.
Activities offered at the UNESCO World Heritage Site include hiking, riding camels or 4 x 4 vehicles, and flying in balloons or other aircraft.
I chose the camel ride, which was fun for about the first 10 minutes, which was enough bouncing for me. However, other people I've talked to loved the experience.
Israel & Jordan trip report: http://bit.ly/1kH8mUI