What is the best bus company to use to go to Mexico City and schedule if anyone knows it.

Estrella de Oro and Estrella Blanca are our favorite buslines for going to Mexico. Both offer luxury class services. Both their websites are listed on my Getting Here page. You should be able to find a direct service with no stops on one of their websites. If not, the trick is to remain flexible. For example, Estrella de Oros always has their own separate bus terminal, but they are always located within walking distance of the main bus terminal where other buslines including Estrella Blanca are. So, if you find yourself having to wait a couple of hours between buses in Acapulco, Chilpancingo, Iguala or Cuernavaca, you can always truck on over to the other bus terminal to see if they have a bus leaving sooner. We've often shaved hours off our trips doing this when a direct bus wasn't available for our schedule. The Site Search Engine can help you find details about the trip, and though several years old, nothing of substance has changed over the years.