Freud said of Nietzsche, something to this effect: that he showed more
insight into human nature than any person every had, or likely ever
would.

I'd like the exact quote and citation.  If there are similar
statements in the Freud canon, I am happy to pay for three more, a
total of four, at $5 each.

Of course I'd prefer not to have the same quote rendered into English
four different ways from the German.  I think Freud is indexed now,
like a scripture, so it should be possible to avoid the repetition.

The quote is "he had more penetrating knowledge of himself than any
man who ever lived or was likely to live."

Freud did say this, however, this quote is not from Freud's writings,
but rather from those of Freud's childhood friend and biographer -
Ernest Jones--who originally writes of Freud's words in his book, The
Life and Work of Sigmund Freud. (Jones, 1955)

The quote is repeated (without reference to Jones) by Walter Kaufmann
in his introduction to Basic Writings of Nietzsche.

Jones, Ernest. The Life and Work of Sigmund Freud, II, p. 344, 1955.

Kaufmann, Walter. Basic Writings of Nietzsche. Editor's Introduction, 1992.

I hope this helps.

Much thanks, great work. 

"Freud Nietzsche" produces 117,000 results.  According to one website,
http://www.historyguide.org/europe/lecture3.html, Freud acknowledges
the similarity between Nietzsche's theories and his own.  According to
another, http://poxblog.typepad.com/poxblog/2003/10/dramatization_o.html,
Otto Rank held that Freud lifted much of his philosophy from
Nietzsche.  A book by Paul-Laurent Assoun called _Freud and Nietzsche_
probably addresses this, but this is quicker.

The psychiatrist Thomas Hora based much of his ideology on Heidegger;
his journal was originally called something like Journal of
Existentialist Psychoanalysis.  The philosophical axioms in the
writing of Freud and others are worth clarifying.