I really enjoy Corona. Sol isn't bad either. I've also had Dos Equis but I found that to be... well normal. I don't mind having it but I see no special reason to buy it over any other brand.
Corona can be nice on hot days and with certain meals. Agreed, I never really saw the appeal to Dos Equis. It is an OK beer, but nothing to get excited about, imho.
I like Modelo because it comes in a can. It is sometimes nice to buy a can of that and have it with some variety of Mexican food. I think Modelo is a tasty brand, and it usually costs less than some of the other Mexican beers.
I have only had corona and sol. They are ok, but not my first choice, I think the best Mexican beers aren't exported. Since I haven't been to Mexico and won't be able to go there soon I have to stick to those two.
Mexican beers aren't too popular here in Romania, so it's hard to get a hold of them. Corona is definitely the better choice here, but I've heard good things about Modelo as well.
A beer that you see in the stores alot around here is Tecate-and I enjoyed this beer quite a bit in the past-but its smoother than a lot of the other mexican beers. This beer taste even better with lime-and if you drink it on a beach as well on a hot sunny day-and it has a lot of character.
I have no favorite Mexican beer in fact I am new to the beer. I am open to try a few that has high rating and see how Mexican beer feel like. Perhaps I may just get addicted to a brand there.
I do not really have much experience but the few I have tried are pretty good. Those are just the basics though like your Dos Equis and such, if that even counts.