Cases it already happened: board games such as Chess and Go, Poker, diagnostics of certain diseases using medical images
Cases where AI is still clearly inferior: video understanding, natural language understanding, motor control esp of hands and legs, general medicine, driving
Hard-to-classified cases (AI is better for some instances, worse for others): image tagging and classification, speech recognition (speech-to-text), diagnostics of certain other diseases using medical images (which might need to take into account other information outside of images)
More examples esp counter examples are welcome.