Hypermodern openings for black

Can someone recommend me an opening for black against 1.d4 where you fianchetto the DSB and play in a hypermodern manner? I've already tried playing the KID, the Grunfeld, the Modern and now the Benoni, but I'm not having a real good time with them.
Thanks in advance!

Pirc is against 1.e4, right?. I've played it for some time, but now I've switchedx to the Hyper-Accelerated Dragon and I'm happy with it

I'm afraid that might be the case. If it is so, I'm sticking with the Benoni. But perhaps someone else knows something else I might give a try...

I feel more comfortable playing the hyper-modern way, I think. I also don't like theory-heavy openings

I don't know if the King's Indian is considered hypermodern, but it certainly develops bishops well which is typical of hypermoderns.

There is definitely something! Dutch, for example.

Well, a Leningrad Dutch. Which, in my opinion, is the inferior version of the Dutch. I play it, and prefer a setup, with pawns on f5 and e6, DSB on e7, Knight on f6, LSB fianchettoed to b7, and perhaps even a c5 push early.

The Modern.

The Babushevsky System.

All right, I accept your objections. 

There is some info here, for example:

http://www.chessgames.com/perl/chesscollection?cid=1023301

King's Indian Defense. I use it a lot against d4.

Queen´s Indian

OP wants the kingside fianchetto. 

What do you mean by hippo?

Try www.365chess.com  Opening Explorer.

https://en.wikipedia.org/wiki/Hippopotamus_Defence 

Seems like the Hippo Defense is a very defensive position. It's one of those openings where black goes like "come at me, bro, give me your best shot"; it waits to see what White is doing and then respond accordingly.

In fact, here's a quote by the grandmaster Tiger Persson about the Hippo Defense: "The Hippo lies low in the water. It looks almost ridiculously passive and many theoreticians consider the Hippo to be a peaceful, almost meek animal. But nothing could be further from the truth. On closer scrutiny the animal, the position, and the statistics look almost entirely different. The Hippo is a fierce animal; ready to crush anyone who gets too close."

you must try the grunfeld it is really good.it is my personal preference against 1.d4. here the moves are 1.d4 Nf6 2.c4 g6 3.Nc3 d5 4.cxd5 Nxd5 5.e4 Nxc3 6.bxc3 Bg7 7.Bc4 0-0 8.Ne2(8.Nf3? is bad for white after Bg4) c5! 9.0-0 Nc6 10.Be3

continuing..... 10...Qc7 11.Rc1 Na5 12.Bd3 f5!(white usually avoids 13.e5? c4 14.Bc2 e6 followed by Bb7 and Bd5

Well, I don't know if they can be classified as "hypermodern".

Against d4 you have some opportunity to get into the Pirc with a different move order (sometimes, but rare). You must be able to consider king's indian in most cases.

Why not the Benko Gambit ?