The Last Man on Earth (2015)
0 continuity mistakes in show generally - chronological order
Starring: Will Forte, Kristen Schaal, January Jones, Cleopatra Coleman, Mel Rodriguez
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The Elephant in the Room - S1-E2
Continuity mistake: When Phil storms out during dinner and comes back in, he closes the door (we even hear it latch). When he proposes to Carol, the door remains closed until after she says yes, then in one shot it is open and stays open, with no one touching it.
Trivia: When Phil Miller is sadly looking at the calendar with the 3 stars on the day, it's Will Forte's actual birthday; June 17th.