You should be able to find such a list for mexico on the internet now. The consulate or embassy of Mexico might have such a list.

Since you know your key words, you can input these into a search engine. You can get a few names from this site:
Multinational Corporations

Another way to is decide more narrowly what field you want to go into and look for companies in that field in Mexico. For example -- Mexico is a big tourist country, so all the international hotel chains and tourist services and cruise lines will go there.