1. Greek out
If you were impressed by the new exhibit on ancient Greece at the Field Museum, consider checking out a similar offering at the Art Institute called "Dionysos Unmasked: Ancient Sculpture and Early Prints." The exhibit showcases works focusing on the most raucous god of the Greek pantheon, Dionysos, god of wine and theater, bringing together a collection of sculptures and prints that show his importance in culture and history. (Art Institute of Chicago, 111 S Michigan Ave, 10:30am–5pm. Included in museum admission)
2. Get wild
Scope out the truly massive beasts that roamed the North American plains during the Ice Age at the Field Museum's "Mammoths and Mastodons" exhibit. The gigantic mammoths have been around since summer but will make a departure come early January. Though this exhibit debuted at the Field Museum in 2010, it's traveled across the world. (Field Museum, 1400 S Lake Shore Dr, 9am–5pm. No entry after 4pm. Included in museum admission)
If you haven't already skated the Maggie Daley Ice Ribbon, you absolutely must. Instead of the standard oval rink, skaters wind through a course that gently curves across the downtown park. Don't worry about it getting too crowded—the ribbon can accommodate 700 skaters. If you get there early, you could make it your own winter wonderland. (Maggie Daley Park, 337 E Randolph St, noon. Free, skate rentals $12)