Most single-molecule transport experiments produce large and stochastic datasets containing a wide range of behaviors, presenting both a challenge to their analysis, but also an opportunity for discovering new physical insights. Recently, several unsupervised clustering algorithms have been developed to help extract and separate distinct features from single-molecule transport data. However, these clustering approaches are in general neither designed nor appropriate for identifying very rare features and behaviors, such as switching events, chemical reactions, or particular binding modes, which may nonetheless contain physically meaningful information. In this work we introduce a completely new analysis framework specifically designed for rare event detection in singlemolecule break junction data as a necessary component to enable such studies in the future. Our approach leverages the concept of correlations of breaking traces with their own history to robustly identify paths through distanceconductance space that correspond to reproducible rare behaviors. As both a demonstrative and important example, we focus on rare conductance plateaus for short molecules, which can be essentially invisible when examining raw data. We show that our grid-based correlation tools successfully and reproducibly locate these rare plateaus in real experimental datasets. This result provides useful insight into the nanoscopic junction environment, enables a broader variety of molecules to be considered in the future, and validates our new approach as a powerful tool for detecting rare yet meaningful behaviors in single molecule transport data.