Xbox 360 I loved the achievements, hated trophies on PS3. Everything about the presentation and integration felt so much more immediate and satisfying on Xbox...
Now, that's completely reversed. PS4 trophies, I want. While the Xbox One... I've frequently gotten achievements way after actually getting them. That delay (and the, to me, much clunkier menu), have killed the Xbox achievement hunting joy.
I do wish they had some kind of rewards for reaching certain trophy levels though.