that's a loaded question to which there is no real answer.
King's Indian vs Queen's Indian- which is best and why?

It's not really a matter of which is "better" since these are not like things that could branch from the same base. The QID requires Black to start as with a Nimzo-Indian Nf6 & e6 when White dodges with 3. Nf3 and Black plays b6 (instead of Bb4+ the Bogo-Indian). If you were to ask "Which is better, the QID or the Bogo?" that would be a reasonable Question, since they stem from the same base.
The KID starts from an opening sequence with an early d6 & g6. These set in motion a very different type of game with a much "sharper" middlegame than the one you are likely to find with the QID.
The KID is better. This is indisputable.
now that is a very unreasonable statement you, who don't know what you're talking about. did you include reasons? any insight? no. so all you're doing is just spamming the forum with your garbage answers.
They both have their pros and cons. the qid is flexible and attacks the center with pieces, like nf6 and Bb7. it focuses solely on the center. the KID gives away the center with no fight at all, makes a flexible defense early, then later on pressure the center with e5, c5, and even Bg4 to indirectly get at the center. also f5 is a key move after the Nf6 is re maneuvered. kings indian gives you positions with sometimes bad pawn structure and less central space but monstrous attacking chances on kingside and chances to stop counterattack.

I'm not an expert, but from my limited understanding, the QID works in conjunction with the Nimzo-Indian Defence as an openings repertoire system against d4 and characterised by an early e6. If 1.d4 Nf6 2.c4 e6 3.Nc3 is played, people tend to play the Nimzo-Indian with 3. ... Bb4 whilst 3.Nf3 heads into the Queens Indian with 3. ... b6.
The KID on the other hand is a completely different repertoire system which starts with an early g6: 1.d4 Nf6 2.c4 g6.
Which is better?
Some might say that the Nimzo/QID opening repertoire system is seen more often at the higher level. I personally like the KID, but then again I'm rubbish.

@ Bruce: Gibraltar is not in England.
Yet the Gibraltar Open is. Go figure.
LOL! Well, no wonder they lost their empire.
Oh, and I much prefer the development found in the Nimzo/QID/Bogo-Indian complex to the instant complexities of the KID.
KID is called living or dying by the sword.
QID is trying to equalize.
You are wrong.
Both openings a re ambitious, and flexible. They just follow a different defensive strategy.
lemme change that my statement. From my experience that's what i see.
So then, we could say that, judging by the way most people use the KID and the positions it will most often lead to, the KID is "living or dying by the sword", it is a win via a strong kingside attack, or a loss due to an inferior pawn structure and weak queenside. In contrast, the QID is, judging by its most common variations, a more conservative opening in which black will attempt to "equalize", to match or exceed white's position with it's strength on the queenside. Yet both will provide some great offensive opportunities and defensive structures for black. Whereas the QUID will often lead to a draw, the KID will lead to an outright win- or loss. I have found all of this immensely interesting- please continue...
KID is called living or dying by the sword.
QID is trying to equalize.
Profound words... my friend
If Black just wanted to play conservatively for equality, he could play 3 ...d5 and get back into a QGD. The QID seeks imbalances in the position, which can lead to counterchances.
I have relied on the NID/QID complex for decades, and never was thinking of achieving mere equality - except in those games where I slipped into disadvantage.
Openings aren't aggressive; players are aggressive.
"Openings aren't aggressive; players are agressive." I suppose that is true.. yet it is also true that openings come from the minds of players..
Here is a game I played recently in which I used the KID, and my opponents mistakes, to achieve a winning position. I know I made some minor errors, but it was my first game playing the KID.. any comments on the game?
http://www.chess.com/echess/game.html?id=53611122

In my experience the KID is definitely sharper than the QID. To confirm this empirically you only need to look at the games of Fischer and Kasparov, players who almost universally try to aim for sharp lines which favour their tactical style. Fischer and Kasparov almost universally played the KID or the Grunfeld in response to 1.d4.



Comparing the Queen's Indian to the King's Indian is like comparing apples to oranges.
With the King's Indian Defense, Black allows White the big center (1.d4 Nf6 2.c4 g6 3.Nc3 Bg7 4.e4), and later either tries to chip away at it, or lock it up and attack the White King, depending on what variation White plays.
The Queen's Indian Defense, which can not be used as a stand-alone defense, is one of many lines where Black tries to prevent e4 by White, avoiding giving White the big center. If you don't have a clear understanding of why the Nimzo-Indian and Queen's Indian are often played in conjunction, and think they are just two random openings where "Well, that's what everybody else does against 3.Nc3 vs 3.Nf3", then you have absolutely no business playing either opening.
I cringe when I see all of these idiots playing bullsh*t chess, and I see the following move sequence on the board:
1.d4 Nf6 2.c4 e6 3.Nc3 b6
This shows a clear sign that Black has absolutely no clue what-so-ever as to the whole point behind the Queen's Indian Defense. Here, White gets a large advantage with 4.e4!
The whole point of the Nimzo-Indian, Queen's Indian, and Orthodox Queen's Gambit Declined, is one thing: STOP e4!
After 1.d4 Nf6 (stopping 2.e4) 2.c4 e6 3.Nc3 (e4 is now threatened), Black has 3...d5 (Queen's Gambit Declined), adding another defender to e4 and stopping 4.e4, or 3...Bb4, pinning the piece that covers e4, making 4.e4 unplayable.
The difference here is, 3.Nf3 does nothing to attack e4, and so 4.e4 is not a threat. Therefore, Black has time to play 3...b6, planning a subsequent 4...Bb7. After 3...b6 4.Nc3, Black still has the option of 4...Bb4. The older line, 4...Bb7, puts another piece on e4, stopping 5.e4 by White.
But again, if you don't understand that the Nimzo-Indian and Queen's Indian are built to prevent e4 by White, you don't have any business playing either opening as you have no clue as to the foundation of what Black's plan is.
Have never played the QID and have only played the KID once... so am curious. Any thoughts on this would be greatly appreciated!