user4590: I find it interesting that the Queen can move with the same capabilities as the Rook and the Bishop, but cannot 'jump' or move like the Knight, I understand that this would overpower the queen but theoretically could make the game more interesting, quicker, or more strategic.
I want to know, what are the practical implications of giving the Queen this extra move-set?
Are there any obscure chess variations where this is allowed?

user167: 
Are there any obscure chess variations where this is allowed?

There are. One name for the queen+knight hybrid piece is the Amazon. As noted in the Wikipedia entry on the Amazon piece I just linked to, the Amazon appears in the variant sometimes called Turkish Great Chess, a game played on a 10x10 board and featuring besides the Amazon (which is typically called a Giraffe in Turkish Great Chess) two other fairy chess pieces: a bishop+knight piece (Vizir) and a rook+knight piece (War Machine). (Those sorts of pieces appear under yet different names in the Capablanca Chess and Seirawan Chess variants as well.)

A second variant that is mentioned in the Amazon Wikipedia entry is The Maharaja and the Sepoys, which provides a severe test for the might of the Amazon: namely, it pits a lone Amazon (Maharaja) against a standard chess army on an 8x8 board. An Amazon is capable of checkmating a king by itself, and that is its objective, while the standard army is tasked with checkmating the very mobile Amazon. 


4590: <p>I find it interesting that the Queen can move with the same capabilities as the Rook and the Bishop, but cannot 'jump' or move like the Knight, I understand that this would overpower the queen but theoretically could make the game more interesting, quicker, or more strategic.</p>

<p>I want to know, what are the practical implications of giving the Queen this extra move-set?</p>

<p>Are there any obscure chess variations where this is allowed?</p>
 167: <blockquote>
  <p>Are there any obscure chess variations where this is allowed?</p>
</blockquote>

<p>There are. One name for the queen+knight hybrid piece is the <a href="http://en.wikipedia.org/wiki/Amazon_%28chess%29" rel="noreferrer">Amazon</a>. As noted in the Wikipedia entry on the Amazon piece I just linked to, the Amazon appears in the variant sometimes called <a href="http://www.chessvariants.org/historic.dir/indiangr1.html" rel="noreferrer">Turkish Great Chess</a>, a game played on a 10x10 board and featuring besides the Amazon (which is typically called a Giraffe in Turkish Great Chess) two other <a href="http://en.wikipedia.org/wiki/Fairy_chess_piece" rel="noreferrer">fairy chess pieces</a>: a bishop+knight piece (Vizir) and a rook+knight piece (War Machine). (Those sorts of pieces appear under yet different names in the <a href="http://en.wikipedia.org/wiki/Capablanca_chess" rel="noreferrer">Capablanca Chess</a> and <a href="http://en.wikipedia.org/wiki/Seirawan_chess" rel="noreferrer">Seirawan Chess</a> variants as well.)</p>

<p><img src="https://i.stack.imgur.com/JM95T.png" alt="Turkish Great Chess"></p>

<p>A second variant that is mentioned in the Amazon Wikipedia entry is <a href="http://www.chessvariants.org/unequal.dir/maharaja.html" rel="noreferrer">The Maharaja and the Sepoys</a>, which provides a severe test for the might of the Amazon: namely, it pits a lone Amazon (Maharaja) against a standard chess army on an 8x8 board. An Amazon is capable of checkmating a king by itself, and that is its objective, while the standard army is tasked with checkmating the very mobile Amazon. </p>

<p><img src="https://i.stack.imgur.com/ANfzB.png" alt="Maharaja and the Sepoys"></p>
