For some reason no one is looking into this.
There are tons of people complaining about Quantum Break issues, one of them being some of the achievements not popping.
For me (as well as many others) its the "Rational Thought" achievement triggered by chosing "Control" in Act 4 decision.
It does not appear as "Unlocking" as someone stated, it simply doesn't trigger and it behaves like I never got it.
As usual Remedy says it is Microsoft, Microsoft says its remedy.
Come on people, we need this checked and solved, someone take responsibility.
http://www.trueachievements.com/forum/viewthread.aspx?tid=789742
http://www.trueachievements.com/viewcomment.aspx?commentid=983242#vch
http://community.remedygames.com/forum/games/quantum-break/xbox-one-help-issues/261745-chapter-4-achievement-not-unlocking
https://www.reddit.com/r/quantumbreak/comments/4e74dp/quantum_break_hard_mode_act_5_bug/
https://forums.xbox.com/xbox_forums/games/q/f/5615/t/2146498.aspx