For trials, I love Titan EX. It's just so much fun. Might as well add all of the EX primals though.

As far as dungeons go, I'm partial to the Aery (as I ran that more than a few times to get to level 60) and Fractal. Yeah, Fractal. ^^

Raids? Nothing beats Coil. In fact Coil is my favorite thing in the game.