The foundation. (Note: Skip episodes 1-2; they are celebratory filler for manga readers). Gintama’ (Episodes 202–252): Includes the legendary Four Devas Arc. Gintama’ Enchousen (Episodes 253–265): Short but vital. Gintama Movie 2: Be Forever Yorozuya: Originally intended as the finale. Gintama° (Episodes 266–316):
You have to understand: Gintama is not a show you "binge." It is a show you live with.
A brief continuation that includes crucial world-building plotlines, including the Courtesan of a Nation Arc.