Auld Park in Knoxville has a very large wooden playground.  There's also a smaller playground area in the same park, but across the street.  My boys played there today after visiting Cordova Park, which is just 15 minutes away on the other side of Lake Red Rock.

Play Structure: Ages 2-5 & 5-12
Surface: wood chips
Swings: traditional, toddler, tire
Restrooms: seasonal modern
Parking: off street parking