As of 30 October 2011 the spanish airline Vueling will fly Zurich (ZRH) - Paris Orly (ORY) twice daily.
VY1904 Paris Orly – Zurich 0710–0815
VY1905 Zurich – Paris Orly 0855–1005
VY1906 Paris Orly – Zurich 1710–1815
VY1907 Zurich – Paris Orly 1855–2005
As of today no other airline operates a Zurich - Paris Orly (ORY) connection. However Zurich - Paris Charles de Gaulle (CDG) is served by Swiss and Air France with several flights per day.