Airplanes that have all the lights use a red beacon on the tail (or on top of the fuselage) to be used anytime an engine is running. Bigger airplanes will have a beacon on the bottom of the fuselage also. White strobes are mounted on the wingtips and are used only for flying.

Now, this is the norm. and many airplanes dont follow it. Some small aircraft use a beacon on the top of the fuse behind the cockpit. This was usually done on older aircraft using the old fashioned rotating beacons that were too big to mount in the tail. Some also had a strobe on the bottom of the fuse as well. There have been MANY combinations of lights used by manufacturers over the years, and many more added by owners. So, if you wanted to add a strobe or beacon on the top and bottom of the fuse i can guarantee you that there have been airplanes of this configuration that are still out flying around. Hope this helps.