10 am - The Diego Rivera Mural Museum
Housing one of Rivera's original murals, Sueño de una tarde dominical en la Alameda Central, (Dream of a Sunday Afternoon in the Alameda Central) which thankfully survived the 1985 earthquake, this museum gives you a quick but massive dose of art.
11 am Alameda Central
The Alameda was established in 1592, making it the oldest city park in the Americas. Spend some time here, have a drink (or a perfectly respectable lunch) on the roof of the Barrio Alameda. The Alameda is clean, safe and enormous, and on the further side you find...
1 pm Bellas Artes (The Fine Arts Palace)
One of the city's most iconic landmarks, it's home to some of the most famous murals, plus its own galleries and the Museum of Architecture. At night, regular performances of the Ballet Folklorico make it the destination you've got to come back to at least a few times in a lifetime.
All of the sites are listed at the bottom of this page, but some quick alternatives are these:
4 pm Casa de los Azulejos