“Man is the only creature that consumes without producing”

139
Saint Genet, Actor and Martyr (1952)

IV. Mediscque Vocatur; The physician is sent for.
Devotions Upon Emergent Occasions (1624)

As quoted in Quote Unquote (A Handbook of Quotations) (2005) by M. P. Singh, p. 86

As quoted in "The Status of Annexed Territory and of its Free Civilized Inhabitants" (1901), North American Review, vol. 172, no. 530 (January 1901), p. 22.

Source: A Treatise On Political Economy (Fourth Edition) (1832), Book III, On Consumption, Chapter IV, p. 399 (See also:Say's Law, Michał Kalecki, John Maynard Keynes)

also reported in the form: The peoples of the Balkans produce more history than they can consume, and the weight of their past lies oppressively on their present.
Although widely attributed to Winston Churchill (e.g. by the President of the British Academy, Professor Sir Adam Roberts), the quote is spurious.
The remark was quoted - although without attribution, and concerning East Central Europe instead - by Margaret Thatcher in her speech, "New Threats for Old," in Westminster College, Fulton, Mo., at a joint commemoration with the Churchill Centre of the "Iron Curtain" speech's 50th anniversary, on 9 March 1996: "It is, of course, often the case in foreign affairs that statesmen are dealing with problems for which there is no ready solution. They must manage them as best they can. That might be true of nuclear proliferation, but no such excuses can be made for the European Union's activities at the end of the Cold War. It faced a task so obvious and achievable as to count as an almost explicit duty laid down by History: namely, the speedy incorporation of the new Central European democracies--Poland, Hungary and what was then Czechoslovakia--within the EU's economic and political structures. Early entry into Europe was the wish of the new democracies; it would help to stabilize them politically and smooth their transition to market economies; and it would ratify the post-Cold War settlement in Europe. Given the stormy past of that region--the inhabitants are said to produce more history than they can consume locally--everyone should have wished to see it settled economically."
The sources of Thatcher's quote is likely a passage in the 1911 "Chronicles of Clovis", by Hector Hugh Munro (Saki), referring actually to Crete: "It was during the debate on the Foreign Office vote that Stringham made his great remark that "the people of Crete unfortunately make more history than they can consume locally." It was not brilliant, but it came in the middle of a dull speech, and the House was quite pleased with it. Old gentlemen with bad memories said it reminded them of Disraeli."
Misattributed
Source: Reinventing the Wheel http://www.gresham.ac.uk/lectures-and-events/reinventing-the-wheel-the-cost-of-neglecting-international-history. Footnote #5
Source: The speech is in James W. Muller, ed., Winston Churchill's "Iron Curtain" Speech Fifty Years Later (Columbia: University of Missouri Press, 1999), which collects the papers from that occasion. A readable .pdf is on the Churchill Centre website (scroll to pages 18-24): http://www.winstonchurchill.org/images/finesthour/Vol.01%20No.90.pdf
Source: Full text available here: https://en.wikisource.org/wiki/The_Chronicles_of_Clovis/The_Jesting_of_Arlington_Stringham

Ein Mensch wie ich kann ohne Steckenpferd, ohne herrschende Leidenschaften, ohne einen Tyrannen in Schillers Worten, nicht leben. Ich habe meinen Tyrannen gefunden und in seinem Dienst kenne ich kein Maß.
Letter to Wilhelm Fliess (1895), as quoted in Journal of the History of the Behavioral Sciences Vol 3-4 (1967) p. 159
1890s
Context: A man like me cannot live without a hobby-horse, a consuming passion — in Schiller's words a tyrant. I have found my tyrant, and in his service I know no limits. My tyrant is psychology. it has always been my distant, beckoning goal and now since I have hit upon the neuroses, it has come so much the nearer.

Source: The Postmodern Condition: A Report on Knowledge (1977), p.5