Forest Park, Cahokia Mounds, Lone Elk Park, Powder Valley, Mastadon Park, Missouri Botanical Garden especially the Climetron which is a rain forest environment, Meremac Caverns near Sullivan or Marvel Cave in Branson, Ozark hills in the southern part of the state and tons of historical sites. Missouri has beautiful parks, streams and lakes. You can check them out with the Missouri Dept of Natural Resources. A lot depends on how much time you have and which highways you are taking across the state (Highway 70 vs Highway 44).
Trail of Tears, Lake of the Ozarks, Branson, Elephant Rock State Park, Mastodon State Park, Suttons Bluff
Laclede s LandingAnheuser-Busch Brewery tourForest ParkMissouri Botanical Gardens