One of my favorite spots in the city, a sprawling park filled with historic buildings from different periods
A great park, hosting an outstanding World War 2 museum
Smotrovaya ploshchadka na Vorobyovykh gorakh
Great view of Moscow and the university building, and you can take a chairlift up to it!
Like a Soviet Epcot, variety of pavilions with now a mishmash of content
Absolute must visit, such a presence in history and, uh, unique decision
Muzeon Park of Arts
Across from Gorky Park, a mix of displaced Soviet monuments like these as well as modern art sculpture. Many Lenins are still in public places, but they took down some of the excessive spares, as well as most of the more ambivalently remembered figures like Stalin and Brezhnev.
Where Peter the Great sent his attempted-assassin sister and nagging first wife for life (penalties for those crimes are equal)
Most of the subway staions in this expansive system are very grand, particularly on the circle line - lots of marble, statues, chandeliers, stained glass and frescos. You don't have much time to admire the surroundings though because the cars usually come in less then 2 minutes.