It took a while, but I finally got the Platinum trophy for BATMAN: ARKHAM CITY. Some of those Predator challenges were a nightmare. Especially the ones where you can't take any damage, or the Batman one where you have to catch three guys in an ice mine. I got that trophy on October 2. Today, I also finally completed Catwoman's trophy set. Catwoman is a lot of fun to play as. You can run around so fast, and they have a hard time hearing you.
I don't have the Robin, Nightwing, or Harley Quinn's Revenge DLCs, but I may be getting those later.