During Microsoft's press conference pre-show, they announced some significant changes that are coming to the Achievements app on the Xbox One.
Instead of having to leave your game to check your achievements list, gamers will now be able to snap their achievements alongside the game so that they can continue playing. Those achievements that are cummulative and track your progress, will also update in real-time so that you can literally see how close you are to getting that pop when grinding along. By default, achievements will be sorted by how close the player is to unlocking them, but players will also be able to rearrange them however they want.
There was no specific date given in which this update could be expected, other than it would be coming sometime later this year.