Why aren't all the symbols available

For the version 4 series of kicad, it was decided to keep the list of automatically added symbols stable during its lifetime. This is why a lot of libs in the official library are not added automatically to every project. (The official lib got a lot of additions between the first release of kicad 4 and now.)

There is a topic that (towards the end) goes into detail of how to add all libs: