There are still many areas I missed and I want to put some photos, for example we have national parks with forest and lakes, waterfalls, the Industrial areas, and parts of city with museums, statues, parks, monuments, malls, restaurants, etc, etc, etc and so on (the city is quite big, I would say in Mexico, Monterrey is the equivalent to Saint Petersburg in Russia, I doubt I can cover the whole city that's why I am afraid that I maybe ask for Mendelyevs help in order to show the more representatives areas (even though Guadalajara is bigger in terms of population, it cannot match the economic and political importance of Monterrey). Those "exotic" and old buildings are called "colonial buildings" many of them are from when Mexico was "The New Spain", and are considered a part of the Mexican historic patrimony, there are cities which are called "Colonial cities" because they have mainly this type of buildings.
The city recently starting to have International Open of Tennis, in the 2009 edition the Russian female player (Maria Kirilenko) was here but because of health problems (thus was defeated easily) she retired I believe.
The website of the Monterrey Open 2009:http://www.abiertodetenismonterrey.com
In Acapulco I believe there is another International Open of Tennis (opened recently as well) but in Monterrey you can find also some local competitions or even restricted international (between cities ) of particular sports which are not that common or popular in the rest of Mexico (because of economic or social restrictions) such as ice skating (both male and female but predominantly female) or hockey. American Footbal is very popular here and at least at College level there is a league in Mexico called the "ONEFA" which celebrates tournaments every year (and MTY has won consecutively 5 times)