When I was a kid, I loved to visit Burns Park. Located in North Little Rock on the north side of I-40, Burns Park is probably the most popular park in Central Arkansas and it is one of the largest municipal parks in America.
You'll find playgrounds, two golf courses (disc and miniature), a water slide, an amusement park, a softball field, tennis and racquetball courts and even a camping area here.
North Little Rock, AR
Those use of the park is free, use of some of the amenities (like the amusement park)is not.