The Lincoln Children’s Zoo--small but well-tended and well-curated.  Award-winning.
The Children’s Museum--a cacophony of sounds and a barrage of colors.  Activities galore for young children.
Morrill Hall on UNL’s City Campus (aka the University of Nebraska State Museum)--mammoths, dinosaurs and lots more.
The Sunken Garden--a beautiful thing to have at a busy intersection; a peaceful, beautiful place.
The Rose Garden (will open in summer 2008)--promises to be another great addition to the 27th and Normal intersection.
Any Lincoln City public library branch--we have an excellent public library system; very child-friendly.
The Tractor Museum on UNL’s East Campus--rustic, but really a big hit with little boys (and some little girls, of course).
The Pioneers Park Nature Center--a sprawling area in the park offering two wonderful buildings full of displays and interactives, and great trails for getting away from the feel of the city.
The SAC Museum (between Lincoln and Omaha on I-80)--displaying a huge collection of real military aircraft, with histories.