If you want to pick up some cheap souvenirs - masks, postcards, etc. drop by the French Market.
At the end of the French Market is the Flea Market which has a whole lot of strange bits and pieces as well as all the Mardi Gras beads and hats and lots of cheap souvenir t'shirts.
Between Jackson Square and the French Market, there is a golden statue of Joan of Arc symbolizing the city's French heritage.
Although this was formerly the dirtiest, deadliest block in the city, this area along North Peters street is quaint, relaxing and a great place to stroll along and listen to jazz.