5e is the latest D&D and has benefit of the name. Since I participate in some organized play (Encounters), I expect I'll actually be playing it. I've already run three seasons of Encounters using the playtest rules. It has a couple of decent ideas, like Adv/Dis, but apart from that is just another cautious re-boot of a stodgy franchise.
Pathfinder is just the 3.5 SRD re-edited, re-printed, and spruced up a bit - then added to extensively. While I really enjoyed 3.0, and also 3.5, at fist, it quickly started to stagger under it's own weight, and Pathfinder, while fixing up a few minor annoyances (the consolidation of overly complex combat options into CMA & CMD, for instance), has the same problem. Not signing up for that again.
I've tried 13th Age, and it's a good game, technically speaking - Heinsoo and Tweet are top designers. But, I haven't cared for the core classes, they're either Vancian, unappealing to me personally in concept, or are too simplistic or choice-poor. So I doubt I'd play it (unless I really like a class from 13TWs when that comes out). But it also has some interesting tools for the DM, the monsters look like they work well & include mooks, fair take on the minion concept (really, the 'popcorn' concept first seen in the 90s), so I'd be up for running it if I found a group expressing interest. I don't really expect that to happen, since it lacks D&D's name-recognition & clout, though.
Still, of the 3 in the poll, 13A is the superior game.