The chest flys do somewhat occur in the transverse plane, as you bring a leg forward, and then lean into it, causing your upper body to lean forward, similar to a bending down movement so to speak.
Chest presses though is all done in the Coronal plane, as your body is straight the entire time.
That Lat Pull I am not so familiar with, so I can't really say on that.
Is there a particular reason you are focusing your efforts on the Transverse plane or just planes in general?