Mi Hermano Bill, tus Papa Chuy Viejo will readily accept your drinking game challenge and I will immediately raise this bet and issue you a challenge:
I will happily name off, while drunk, the 14 Canadian capital cities (1 national, 10 provincial and 3 territorial) and you simply must name off the 32 Entitdades Federavitas de Mexico.
Since there are 32 Estados de Mexico, I will graciously give you the first three: Distrito Federal - Ciudad de Mexico, Hidalgo Estado - Pace hucha de Soto, and Tlaxcala Estado - Tlaxcala de Xicohtencatl. Now, you only must recite the other 29; and proper pronunciation, while drunk, will count in this contest!
While drunk I speak a cross between Polish & Ukranian so you have no chance of understanding me.
Given Americans celebrated lack of understanding of geography I have supplied the following answer to your question as some friendly Canadian assistance towards your education.
Distrito Federal - Ciudad de México 1,485 km2(573.4 sq mi) pop 08,720,916 est. 1824-11-18
Estado Libre y Soberano de Aguascalientes, Capital - Aguascalientes 0056185,618 km2 (2,169.1 sq mi), pop. 01,135,016, est. 1857-02-05
Estado Libre y Soberano de Baja California, Capital Mexicali, size 07144671,446 km2 (27,585.5 sq mi), pop. 03,122,408, est.1952-01-16
Estado Libre y Soberano de Baja California Sur, Capital - La Paz, size 07392273,922 km2 (28,541.4 sq mi), pop. 0558,425, est.1974-10-08
Estado Libre y Soberano de Campeche, Capital - San Francisco de Campeche, size 05792457,924 km2 (22,364.6 sq mi), pop. 0791,322, est.1863-04-29
Estado Libre y Soberano de Chiapas, Capital - Tuxtla Gutiérrez,size 07328973,289 km2 (28,297.0 sq mi), pop. 04,483,886, est.1824-09-14
Estado Libre y Soberano de Chihuahua, Capital - Chihuahua, size 247,455 km2 (95,542.9 sq mi), pop. 03,376,062, est. 1824-07-06
Estado Libre y Soberano de Coahuila de Zaragoza, Capital - Saltillo, size 151,563 km2 (58,518.8 sq mi), pop. 02,615,574, est. 1824-05-07
Estado Libre y Soberano de Colima, Capital - Colima, size 5,625 km2 (2,171.8 sq mi) pop. 0597,043, est. 1856-12-09
Estado Libre y Soberano de Durango, Capital - Victoria de Durango, size 123,451 km2 (47,664.7 sq mi), pop. 01,547,597, est. 1824-05-22
Estado Libre y Soberano de Guanajuato, Capital - Guanajuato, size 30,608 km2 (11,817.8 sq mi), pop. 05,033,276, est. 1823-12-20
Estado Libre y Soberano de Guerrero, Capital Chilpancingo de los Bravo size 63,621 km2 (24,564.2 sq mi), pop. 03,143,292, est. 1849-10-27
Estado Libre y Soberano de Hidalgo, Capital - Pachuca de Soto, size 20,846 km2 (8,048.7 sq mi), pop. 02,415,461, est. 1869-01-16
Estado Libre y Soberano de Jalisco, Capital - Guadalajara, size 78,599 km2 (30,347.2 sq mi), pop. 06,989,304, est. 1823-12-23
Estado Libre y Soberano de México, Capital - Toluca de Lerdo, size 22,357 km2 (8,632.1 sq mi), pop. 014,739,060, est. 1823-12-20
Estado Libre y Soberano de Michoacán de Ocampo, Capital - Morelia, size 58,643 km2 (22,642.2 sq mi), pop. 03,971,225, est. 1823-12-22
Estado Libre y Soberano de Morelos, Capital - Cuernavaca, size 4,893 km2 (1,889.2 sq mi), pop. 01,668,343 est. 1869-04-17
Estado Libre y Soberano de Nayarit, Capital - Tepic, size 27,815 km2 (10,739.4 sq mi), pop. 0968,257, est. 1917-01-26
Estado Libre y Soberano de Nuevo León, Capital - Monterrey, size 64,220 km2 (24,795.5 sq mi), pop. 04,420,909, est. 1824-05-07
Estado Libre y Soberano de Oaxaca, Capital - Oaxaca de Juárez, size 93,793 km2 (36,213.7 sq mi), pop. 03,551,710, est. 1823-12-21
Estado Libre y Soberano de Puebla, Capital - Puebla de Zaragoza, size 34,290 km2 (13,239.4 sq mi), pop. 05,624,104, est. 1823-12-21
Estado Libre y Soberano de Querétaro, Capital - Santiago de Querétaro, size 11,684 km2 (4,511.2 sq mi), pop. 01,705,267, est. 1823-12-23
Estado Libre y Soberano de Quintana Roo, Capital - Chetumal, size 42,361 km2 (16,355.7 sq mi), pop. 01,290,323, est. 1974-10-08
Estado Libre y Soberano de San Luis Potosí, Capital - San Luis Potosí, size 60,983 km2 (23,545.7 sq mi), pop. 02,479,450, est. 1823-12-22
Estado Libre y Soberano de Sinaloa, Capital - Culiacán Rosales, size 57,377 km2 (22,153.4 sq mi), pop. 02,650,499, est. 1830-10-14
Estado Libre y Soberano de Sonora, Capital - Hermosillo, size 179,503 km2 (69,306.5 sq mi), pop. 02,499,263, est. 1824-01-10
Estado Libre y Soberano de Tabasco, Capital - Villahermosa, size 24,738 km2 (9,551.4 sq mi), pop. 02,045,294, est. 1824-02-07
Estado Libre y Soberano de Tamaulipas, Capital - Ciudad Victoria, size 80,175 km2 (30,955.7 sq mi), pop. 03,174,134, est. 1824-02-07
Estado Libre y Soberano de Tlaxcala, Capital - Tlaxcala de Xicohténcatl, size 3,991 km2 (1,540.9 sq mi), pop. 01,127,331 est. 1856-12-09
Estado Libre y Soberano de Veracruz de Ignacio de la Llave, Capital - Xalapa-Enríquez, size 71,820 km2 (27,729.9 sq mi), pop. 07,270,413, est. 1823-12-22
Estado Libre y Soberano de Yucatán, Capital - Mérida, size 39,612 km2 (15,294.3 sq mi), pop. 01,909,965 est. 1823-12-23
Estado Libre y Soberano de Zacatecas, Capital - Zacatecas, size 75,539 km2 (29,165.8 sq mi) pop. 01,380,633 est. 1823-12-23
You're welcome and you owe me 32 drinks.