Universidad Nacional Autónoma de México - UNAM
speciality: Engineering

The largest university in the country, with great program and the most programs in investigation in Mexico, also a cheap cost.
I do not like that there is no clear who can assist you in choose the programs, and thats for the size of this university, but overall the best in México.

Although it has many problems it is undeniable that this is the best public and autonomous university in the country with the greatest infrastructure and the highest number of students, it is also one of the 150 best universities in the world.