The Jones Brothers.
Realistically I doubt they cut Jarvis because he was a first round pick but I could see Allen or Mitchell
None of the three listed players have ANY shot of getting cut.
Jarvis Jones is still on his rookie deal, was injured most of last year, and showed improvement to start the year. They aren't going to give up on him in year 3.
Cortez Allen is going to be given every chance he can to regain his confidence and get back to the player that he was when they signed him long term. He had taken over for Ike guarding the other teams best WR by the end of 2013. He had a down year in the first year of his new contract, he played hurt, but never whined or complained about getting less playing time. He tried to fight thru it the best he could. He'll have a full offseason in which he said he would watch every single play of his and work on the things that he did wrong. You don't cut a player like that.
Mitchell wasn't as bad as people here make him out to be. He was also playing hurt, and in an entirely new defensive scheme. But by the end of the last year, his play had improved quite a bit. Getting him healthy will be big. Plus we aren't exactly swimming in S depth, so they aren't going to cut him and weaken an already weak position.
Cam Thomas has the most realistic shot of getting cut, with the emergence of Tuitt last year and having McClendon back healthy, and McCullers going into his second year, Thomas becomes expendable.
On offense, they aren't going to get rid of Archer (unfortunately). I just don't see anyone getting the ax. The only way we might see that is if we draft a RB and say goodbye to Josh Harris.