The second flown capsule is the Gemini-11 spacecraft that launched astronauts Charles Conrad and Richard F. Gordon on September 12, 1966 into space for a 70+ hour mission. The spacecraft is hanging (with no plastic protection cover) right side up, which gives an excellent view of the capsule.
At the time of my visit the museum was closed for the public because of a major upgrade and repositioning of the exhibits, but according to museum curator Ken Philips (who was kind enough to take me on a tour) it is scheduled to re-open in July 2001.