Any theory that is to explain the world correctly has to provide a mechanism by which the interesting results of quantum mechanics happen (e.g. diffraction patterns, momentum/position uncertainty, etc.).
While there are numerous explanations of particular historical experiments on the web (double slits, delayed choice eraser, bell inequalities, etc.), I couldn't seem to find an actual minimal, non-redundant, and exhaustive list of such experiments that we have to provide an explanation for.
I guess I'm looking for very bare-bone (and experiment-centered) answers of the type "When a photon/other particle goes through system A, B should happen."
What relevant properties and behavior should a particle exhibit ? What should the "test suite" of a quantum theory contain, if you will ?