The safaris at Tippi Hedren’s Shambala Preserve ($3,000) may have live animals, but the Natural History Museum’s ADULTS-ONLY ALL NIGHTERS ($135; members, $119) have us reaching for our sleeping bags. The events are often themed and include an open beer-and-wine bar as well as a mini buffet. Participants usually snooze amid the African Mammal dioramas, but for an extra $15, you can sleep with the T. rexes in the Dinosaur Hall. See. you. there.