for saltwater, my fishes are the amberjacks, cobias, and white marlins. my dream is to catch a GT, but we don't have them here. 
back country: Snooks (my favorite fish), Tarpons and Bonefishes that we also don't have here, but allready cought some in US.
fresh water just one the PeacockBass, the best predator in the world. Last year I stayed for one week in the heart of the Amazon jungle just to get the monster ones. It was one of the best fishing trips of my life.