The CMLL 71sth Anniversary Show was a professional wrestling major show event produced by Consejo Mundial de Lucha Libre (CMLL) that took place on September 17, 2004 in Arena México, Mexico City, Mexico. The show consisted of six matches, with the main event being a Lucha de Apuestas, elimination match where all four competitors put their mask on the line. The competitors were Rayo de Jalisco Jr., Dr. Wagner Jr., Universo 2000 and Canek. It also featured four Six-man tag team matches, including a Mini-Estrella match. The show also featured CMLL World Light Heavyweight Champion Último Guerrero defending the title against L.A. Park. The event commemorated the 71st anniversary of CMLL, the oldest professional wrestling promotion. in the world. The Anniversary show is CMLL's biggest show of the year, their Super Bowl event.

The 2004 CMLL Anniversary Shows commemorated the 71st anniversary of the Mexican professional wrestling company Consejo Mundial de Lucha Libre (Spanish for "World Wrestling Council"; CMLL) holding their first show on September 22, 1933 by promoter and founder Salvador Lutteroth. CMLL, originally known as Empresa Mexicana de Lucha Libre ("Mexican Wrestling Company"; EMLL) it would change its name to Consejo Mundial de Lucha Libre in 1992 to signal their departure from the National Wrestling Alliance. With the sales of the Jim Crockett Promotions to Ted Turner in 1988 CMLL became the oldest, still-operating wrestling promotion in the world. Over the years CMLL has on occasion held multiple shows to celebrate their anniversary but since 1977 the company has only held one annual show, which is considered the biggest show of the year, CMLL's equivalent of WWE's WrestleMania or their Super Bowl event. CMLL has held their Anniversary show at Arena México in Mexico City, Mexico since 1956, the year the building was completed, over time Arena México earned the nickname "The Cathedral of Lucha Libre" due to it hosting most of CMLL's major events since the building was completed. Traditionally CMLL holds their major events on Friday Nights, replacing their regularly scheduled Super Viernes show.

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