JP is solidly in first place followed by Maiden and AIQ trailing a ways behind. I love how AIQ shoots but the theme and rules fall flat with me.
JP I feel just has more ways to approach it than Maiden. In Maiden it started to feel like a lot of my games progressed in the same way. Cyborg MB would usually just come to me so it got a bit repetitive. With that being said I do regret selling my Pro and think its a great game.
On JP you can choose to focus on Paddocks or Trex modes and play it in more ways. You also have the Escape Nublar challenge. I think the Paddocks are brilliant because it allows you to take different paths to the Visitors Center. I just feel that there is a bit more depth and strategy with JP vs. Maiden. AIQ is probably more similar to JP in rules but I just don't find the theme or rule implementation as much fun as JP.
Lastly I think JP has the best toys of the 3 games. The moving T-Rex is implemented really well and is one of the best toys Stern has done. The Raptor Pit is also really well implemented. For Maiden I was content with owning the Pro.