Overall Structure:
Introductory Note, Introduction,  
Nights 1–3 The Story of the Merchant and the Jinni, The Story of the First Sheykh and the Gazelle, The Story of the Second Sheykh and the Two Black Hounds, The Story of the Third Sheykh and the Mule
Nights 3–9 The Story of the Fisherman, The Story of King Yunan and the Sage Duban, The Story of the Husband and the Parrot, The Story of the Envious Wezir and the Prince and the Ghuleh, The Story of the Young King of the Black Islands
Nights 9–18 The Story of the Porter and the Ladies of Baghdad, and of the Three Royal Mendicants  The Story of the First Royal Mendicant, The Story of the Second Royal Mendicant, The Story of the Envier and the Envied The Story of the Third Royal Mendicant, The Story of the First of the Three Ladies of Baghdad, The Story of the Second of the Three Ladies of Baghdad
Nights 24–32 The Story of the Humpback, The Story Told by the Christian Broker, The Story Told by the Sultan’s Steward, The Story Told by the Jewish Physician, The Story Told by the Tailor, The Barber’s Story of Himself, The Barber’s Story of His First Brother, The Barber’s Story of His Second Brother, The Barber’s Story of His Third Brother, The Barber’s Story of His Fourth Brother, The Barber’s Fifth Brother, The Barber’s Story of His Sixth Brother
Nights 32–36 The Story of Nur-Ed-din and Enis-El-Jelis
Nights 537–566 The Story of Es-Sindibad of the Sea and Es-Sindibad of the Land, The First Voyage of Es-Sindibad of the Sea, The Second Voyage of Es-Sindibad of the Sea, The Third Voyage of Es-Sindibad of the Sea, The Fourth Voyage of Es-Sindibad of the Sea, The Fifth Voyage of Es-Sindibad of the Sea, The Sixth Voyage of Es-Sindibad of the Sea, The Seventh Voyage of Es-Sindibad of the Sea
Nights 566–578 The Story of the City of Brass
Nights 738–756 The Story of Jullanar of the Sea
Appendix- The Story of ‘Ala-ed-Din and the Wonderful Lamp: Paras. 1–24, Paras. 25–49, Paras. 50–74,Paras. 75–103, The Story of ‘Ali Baba and the Forty Thieves

sidenote: since the links do not work, to read these stories, go to http://www.bartleby.com/16/ 

 

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                     A interesting resturant I found while looking up 1001 nights
http://www.menupages.com/restaurants/1001-nights/menu