Well somebody tell me please... Nimzo is considered great? Bogo is considered rubbish? But they are pretty much same position? Only difference is horse is not with pin? Maybe Bogo is better because you force check, yes? So let us show? BogoIndian is better than NimzoIndian, yes?!
Playing against the Queen's Indian as White

You can kind of consider the Bogo and the Nimzo Indians as part of the same system, both playing Bb4 on move 3. The Bogo Indian is more of an equalizing opening, as Black doesn't have the immediate pressure on the c3 knight as he does in the Nimzo and first plays to get sound development. This has lead to the impression that the Bogo is not as good as the Nimzo. However, they are both fully playable and together can make up the main part of your anti 1.d4 repertoire.

It depends on what White plays. After 1.d4 Nf6 2.c4 Nf6 White has 3 main moves. First is 3.Nc3, after which Black can play Nimzo. 2nd, White can play 3.Nf3, which can lead to either the Queen's Indian or Bogo Indian. Last, White has 3.g3, probably trying to play a Catalan after 3...d5. However, one good thing about the Bogo Indian is that after 3.g3 you can play 3...Bb4 anyways, which usually transposes to a Bogo. This is why I chose to play the Bogo, it saves midnight oil. However, all 3 are well known and respected openings.

Am leaning toward d5. A classic setup, with tempo. Perhap the best option might be the NoIndianDefence? Save a few headache. Where is the hairy Greek guy?
In general, I'll play the Bogo-Indian against 3. Nf3. Sometimes I'll go with the Queen's Indian. The point of the Bogo is similar to that of Nimzos in which White avoids doubling his pawns (such as in the Capablanca variation 4. Qc2).

But 4e3 is Rubenstein? 4Qc2 is Capablaca style, yes? 4a3 is Saemisch. And there is a Leningrad Nimzo AND a St. Petersburg Nimzo, despite they being the same city?!

I recommend to delay d4 and start via this move-order to cut out a bunch of defenses including ...Ba6 QID. Moreover, in enables White to use this still reliable pawn sac.

That works if you are willing to play a Catalan or some other anti-QGD system as White (I know there exist a few). With 1...Nf6 and 2...e6 Black is flexible and keeping his options open as well, and can play d5 at any moment.

That works if you are willing to play a Catalan or some other anti-QGD system as White (I know there exist a few). With 1...Nf6 and 2...e6 Black is flexible and keeping his options open as well, and can play d5 at any moment.
Sure, but the same applies if you start with d4 and c4.
I like the Bogo Indian. I play it myself. If White plays 1.d4 2.c4 then he has to meet either the Bogo or Nimzo. 3.g3 transposes back.
Black's plan is to play d6 and e5