The Palacio de Bellas Artes (Palace of Fine Arts) is a prominent cultural center in Mexico City. It has hosted notable events in music, dance, theatre, opera and literature in Mexico and has held important exhibitions of painting, sculpture and photography. The Palacio de Bellas Artes has been called the "Cathedral of Art in Mexico". The building is located on the western side of the historic center of Mexico City next to the Alameda Central park.
Located in the heart of Mexico City, Chapultepec Castle is a historic site and local landmark. Inhabited since the days of the Aztec Empire, Chapultepec Hill offers a commanding view of the city. The fortress was the home of legendary Mexican leaders including Emperor Maximilian and Porfirio Diaz and played an important role in the Mexican-American War. Today, the castle is home to the National Museum of History. The views of the city can't be beat!
There are tons of markets to explore, but a handful that we've found and enjoy are as follows: Mercado Jamaica, Mercado de San Juan (international cuisine), Mercado Medellin (food and fresh flowers), La Ciudadela (artisan handcrafts and local goods), and Coyoacan Market (handcrafts and great food). Admittedly these can be easier to navigate with a guide, but don't be afraid to dive in (and haggle for best prices!).
The Frida Kahlo Museum, also known as the Blue House for the structure's cobalt-blue walls, is a historic house and art museum dedicated to the life and work of Mexican artist Frida Kahlo. It is located in the Colonia del Carmen neighborhood of Coyoacán. The nearby Coyoacán Market is a great stop as well! Buying your tickets in advance is highly recommended — the line tends to wrap around the house!
About 25 miles outside of Mexico City, this archeological site is worth a day trip. The "city of the gods" was a huge urban center with a population of about 200,000, occupied from 200 BC to 800 AD. At its peak, it was one of the largest cities in the world, and its influence was felt all over Mesoamerica. See the Temple of Quetzalcoatl, walk along the Avenue of the Dead, climb the Pyramid of the Sun and Pyramid of the Moon. If you're into rising early, you can opt to take in the view from above in a hot-air balloon!