So, controller support sounds nice, but in my case unfortunately no. Epic fight mod which adds new pretty awesome combat system have bind keys for "dodge" and "switch mining/battle mode" but the second bind isn't working, moreover in that same battle mode player unable to attack like if I use mouse for it.
And about Fancy Menu mod, seems that controllable unable to "see" custom button that I've created, even if I put cursor over it by right stick

FancyMenu seems to use their own system for rendering widgets, which can't be detected by Controllable. Unless they use the standard system in vanilla Minecraft already, it won't work.