Just because they don't have ID doesn't mean your kids can't catch a little music while they're in town. Music club Storyville welcomes children before 9pm, and the House of Blues has a family-oriented gospel brunch every Sunday.
National D-Day Museum
This new museum, housed in an old brewery, details the events on and leading up to June 6, 1944. Built in New Orleans to honor the local manufacturer of the Higgins boats used to ferry soldiers ashore, the museum showcases veterans' oral histories and never before seen film footage. Although the subject matter is dealt with tastefully, you may want to skip this museum if your children are very young.
Mardi Gras World
It's a bit of a hike to get there without a car (a short ferry and shuttle ride, to be exact), but this kitschy museum houses the breathtakingly elaborate parade floats that are used during Mardi Gras each year. Since the museum is also a functioning workshop, kids will get a chance to see the various stages of creation, from design sketches to sculpting to putting on the final coat of paint. Bejeweled costumes are available for dress-up and photos.
Although this zoo is home to over 2,000 animals, its claim to fame is its rare white albino alligator collection. As you might expect, the zoo dedicates a significant area to swampland creatures. A free shuttle from the St. Charles Avenue streetcar takes you right to the zoo.