Openings that fianchetto on the king side I'm a beginner and I really like openings that end up in a fianchetto, I mostly like playing on Black side because of Sicilian Dragon and King's Indian Defence. 

On White I play London System and King's Indian Attack.(For which I don't like London system that much.)

So I have 2 questions:

1.- Is there a list of openings where a fianchetto is involved for both black and white openings? And which are most effective?

2.- I like to think of myself as a positional player, what are the most popular white openings that have this kind of "passive" play?
With black against 1.e4: 


Modern defence
Pirc
Sicilian defence: dragon
Sicilian defence: accelerated dragon


With black against 1.d4: 


Modern defence
King's Indian defence
Grünfeld
Leningrad Dutch
Benoni


Most of these openings have a fixed or typical setup, so with white you can play the same setup with an extra tempo.

Hard to say whether an opening is tactical or positional, active or passive. All the openings in the list have the reputation of being "fighting". This is not surprising. As you spend time playing g6 and Bg7, your opponent has the opportunity to occupy the center. Therefore, it is often important to create counterplay, which leads to an interesting battle.

In order to choose one of these openings, you can take a look at some games of strong players to see which kind of position arises and to learn the main ideas.