Well, SURE, there are places where you must suspend disbelief (it's not THAT easy to steal a car, is it?), and SURE there are plot holes, and SURE there are times when you say to yourself "How did he know to go there?" BUT...this is one enjoyable movie!
The acting, the action scenes, and the eye candy (Statham for you XXs, and J-Lo for us XYs) are all great. Oh...and a word about J-Lo. While I've never been a great fan, the poor reviews she received made me curious. Well, she was excellent...and hot as a pistol. That woman has more sex appeal than 5 centerfolds. Patti Lupone plays her mom...very well, I might add.
Statham plays Parker and Parker-like characters in an intrinsically believable manner; that is, marginal characters who live on the edge of the law or beyond it (think "The Transporter" series) with an honorable streak. He slips into this part easily, and like his "Transporter" character, Parker seems little interested in sex. No...he has a singular purpose here as he has had in previous movies: get the job done, and no time for recreation. And once again, his singularity of purpose rings true.
There is, of course, violence, but we all have seen worse; my wife only had to look away twice, and she does not enjoy these types of movies, but goes to humor me (I agreed to see that dreadful "Moonrise Kingdom" after all). But she liked "Parker"--her direct quote was "It kept my interest"--and that was high praise for this kind of flick.
And as Tosh might say: "And for that, we thank you."