That's why I should pay more attention to the posts, fix here: http://forum.unity3d.com/threads/local-share-unity3d-packages-isnt-created-but-needed.374924/
The workaround didn't work for me on Fedora 22. What I did was I created the directory in the workaround, then I went into the Unity Editor's root directory and copied the packages from, Data/Resources/Packages, into ~/.local/share/unity3d/Packages. After I did that, it worked just fine.
Thanks for this, sumauma. This was what I needed to resolve the blacked-out 'Recent Project' window problem I was having with Unity 5.3 on Fedora 23. This guide helped me get node.js installed and configured properly.