Slice of life is a depiction of mundane experiences in art and entertainment. In theater, slice of life refers to naturalism, while in literary parlance it is a narrative technique in which a seemingly arbitrary sequence of events in a character’s life is presented, often lacking plot development, conflict, and exposition, as well as often having an open ending.
Would stranger than fiction count?
Jim Jarmusch’s movies (and Clerks) were the first thing I thought of too. Night on Earth and Mystery Train are my favorites.