For most common cmpnds, probably the ones you're dealing with, determining the R or S configuration will do. If one compound is R and the other is S, these are nonsuperimosable.
But there are exceptions, so I would think unless you would want to run into that trouble you could follow movies' lead and check for superimposability the visual way.
To do this it might take a bit of brain power, nonetheless it is worth the time. If you can rotate the molecule clockwise, counterclockwise, or 180° into the plane and it is the same as the one you are comparing, then obviously they are the same molecule. Take into account however that a wedge stereobond becomes a dash stereobond, and a dash stereobond becomes a wedge stereobond when you rotate 180° into the plane.
Stereochemistry's always a tricky science.