I've always been curious on how evolution might be falsified.
Find a life form that doesn't have the same basic biochemistry as all of the forms of life currently existant. Find an instance of a cat giving birth to a monkey. Find a fully modern multicelluar organism in a precambrian fossil. All of these would falsify evolution. There are probably many more. A microbiologist could probably present many more examples than I could.
The simplist way to falsify evolution is to demonstrate via DNA analysis, that living things are not related by common descent. This could be done by the same methods used to prove that a child is not related to an alleged parent.