Yes. But so do are the rest of countries around the world. Some examples of Mexico's uniqueness include:
hi i am askin that how i Mexico is unique
Translation: there are no two [countries] like Mexico. It means Mexico is unique in the world.
No, but they were 'first invented' there.
is the only country that can produce tequila
It is unique, as all countries are.
Black is such color.
They make clay pots, have a unique religion, and much more
Because it was successful and integrated many of its ideals into the Mexican constitution.
a zócalo is the main plaza or square, set in the heart of the town. This is unique to Mexico and came about because of the naming of the main plaza of MExico City..
how many licks does it take to get to the center of tootsie pop
As with any other cultural music, Mexican music is composed to reflect the culture that is Mexico. Mexican music sounds unique because it shows how the Mexican culture is unique.
Black pottery. See links below for some examples.