Montage: used to show lots of action in short number of minutes, mainly used action films or under sports training sequences.
Flashback: Used in all genres, used to recounts past events and to develop character, create suspense or add structure to a narrative.
Dissolve: Used to indicate a period of time passing. (start video at 17 seconds)
Fade in/out: like a dissolve, but to a blank screen, used for the same reasons as a dissolve ( skip to 2:52 seconds)
Straight cut: Basic cut, shot A ends, Shot B Begins, used to keep story flowing.