I have several pieces of feedback for the tabs that big picture library arranges itself into:

1) If I have 0 non steam games, please hide that section
2) If I have every game installed. please hide installed tab and just have the all games tab
3) Please list non steam games in "all games"... it doesn't really feel like a comprehensive "all games" when you leave out parts of my library
4) I only buy games with controller support. so similar to number 2. please hide the "playable with my controller tab" if the list is identical to my installed games list.

Most of this feedback could also be addressed with more customizable tabs