I think my first one on my old PSN account was Lego pirates of the Caribbean, don't remember any more from that.
On my new UK PSN account! I only have knack and lego movie game on PS4, and am trying for one on lego Marvel (but it is a grind). I don't tend to go for platinums, because so many games have heavy online requirements and I don't play online much. But if I have finished a game and enjoyed it, I do like looking at trophies to see what else I could do, assuming I'm not tired of the game yet.