Yes right here in New Orleans you have Storyland (https://neworleanscitypark.com/in-the-park/storyland), Carousel Gardens (https://neworleanscitypark.com/index.php/in-the-park/carousel-gardens), the Train Garden (https://neworleanscitypark.com/in-the-park/train-garden), and City Putt (https://neworleanscitypark.com/in-the-park/city-putt) - all within City Park with a large traditional playground as well.
There are all manner of great museums. Some of note are the New Orleans Art Museum (https://noma.org/), The Ogden Museum of Southern Art (https://ogdenmuseum.org/), the New Orleans Jazz Museum (https://nolajazzmuseum.org/), the Louisiana Childrens Museum (https://lcm.org/), the Voodoo Museum (https://voodoomuseum.com/), the Museum of Death), the Museum of Southern Jewish Experience (https://msje.org/), the Historic New Orleans Collection (https://www.hnoc.org/), the Presbytere (https://louisianastatemuseum.org/museum/presbytere), and the Cabildo (https://louisianastatemuseum.org/museum/cabildo).
New Orleans Botanic Gardens (https://neworleanscitypark.com/index.php/botanical-garden), and Jean Lafitte Preserve (https://www.nps.gov/jela/index.htm) are wonderful ways to take a great walk.
New Orleans is famous for its music. From Preservation Hall (https://www.preservationhall.com/) to the 20+ venues of Frenchman Street in the French Quarter (https://frenchmenstreetlive.com/), your ears will be happy.
Just a drive outside of New Orleans is Oak Alley plantation - not the grandest of its kind, but one of the closest to New Orleans. There's lots of controversy surrounding plantations and plantation life. But there's lots to learn and valuable perspective to be had from walking through this part of our history - including slave's quarters. If you are a Southern history buff, you can also take in nearby Whitney and Laura plantations.
The Creole Queen paddlewheeler (https://www.creolequeen.com/) and the Natchez Steamboat (https://www.steamboatnatchez.com/) offer Mississippi river cruises with historic flair. From jazz brunches to stops at historic sites, this is a great way to take in the day.