If seeing the sights is on your list of things to do, head to Odder Valgmenighedskirke— just one of the landmarks located 0.3 mi (0.6 km) from central Odder.
You might want to play some rounds at Minigolf I Saksild, located 3.9 mi (6.2 km) from central Odder. If Minigolf I Saksild doesn't quite scratch your golfing itch, Odder Golf Club and Aarhus Golf Club are all just a short drive away.