A PS4 stick right now will work with a PC, and a PS3.
Quanba/Eightarc Fusion sticks will work with 360, PS3, and PC.
They haven't quite sorted out Sony's new encryption for the PS4 so there isn't really any good multi format solution. (There is a PCB that'll let you do this somewhat, but you have to reset the stick every 8 minutes while using it on a PS4 which doesn't seem especially useful right now.) If you want to have something like that, wait six months or so and then look around. They are working on it, but nothing super good's out there at the moment.
Haven't heard anything about anyone making something that's XB1 compatible on top of all that, but they're probably working on that too.