Maya: A language family spoken by various groups in the Yucatan Peninsula and surrounding areas. The modern Maya languages are still spoken by millions of people today.
Nahuatl: The language of the Aztecs, also known as the Mexica. Nahuatl was a very influential language, spoken across much of central Mexico and used as an administrative language by the Aztecs.
Mixtec: Spoken by the Mixtec people, who inhabited a large region in southwestern Mexico.
Zapotec: Spoken by the Zapotec people, who resided in Oaxaca, Mexico.
Otomanguean: A large language family that includes many languages spoken in central Mexico, including Otomi, Mixtec, Zapotec, and others.
Uto-Aztecan: Another major language family, which includes Nahuatl, as well as languages spoken in the Southwestern United States.
Totonac: A language spoken by the Totonac people, who lived in the Veracruz region of Mexico.
This is just a partial list, as many other languages were spoken by different Mesoamerican cultures. The diversity of languages reflected the diverse cultures and histories of the region.