Azumanga Daioh
Western comedies rely on setup->punchline. Azumanga Daioh relies on Ma (間)—the space between things.
A classic sketch: The class draws pictures for an art contest. Chiyo draws a beautiful landscape. Sakaki draws a perfect cat. Osaka turns in a blank piece of paper. When asked what it is, she stares at the ceiling for ten seconds and says: "A futon."
The humor comes from the pause. It comes from the reaction shot. It comes from the audience realizing that Osaka isn't stupid; she is living in a completely different dimension. Azumanga Daioh
The show also utilizes "surreal escalation." Tomo bets she can jump over a chair. She fails. She tries a table. She fails. She tries a desk. She fails. Finally, she attempts to jump over a car. The car is not in motion. It is just parked. She hits her shin and cries. There is no punchline; the absurdity of the persistence is the joke.
In Japanese comedy, you need the boke (fool) and the tsukkomi (straight man). Tomo is the boke; Koyomi is the tsukkomi. Armed with a paper fan and a short temper, "Yomi" is the realist who grades low on tests because she spends her nights stopping Tomo from burning the house down. Her running gag is her obsession with dieting and weight, a surprisingly human insecurity in a cartoon world. Western comedies rely on setup->punchline
Azumanga Daioh is comfort food. It is warm, funny, occasionally weird, and ultimately heartwarming. It invented many of the tropes you see in slice-of-life anime today, and in many ways, it still does them better than its successors.
Highly Recommended.
There is no grand plot to save the world. The series follows a group of six high school girls and their eccentric teachers through their three years of high school. It captures the mundane: studying for exams, sports festivals, summer breaks, and classroom banter. The "story" is simply the passage of time and the deepening of their friendships.
If you try to summarize Azumanga Daioh on Wikipedia, it sounds impossibly boring. The story follows a group of high school students and their teachers over three years (Japanese high school is three years, roughly ages 15-18). That’s it. In Japanese comedy, you need the boke (fool)
There is no tournament arc. There is no demon lord. The "climax" of the series is a cultural festival and a graduation ceremony.
The genius of Azumanga Daioh is that it uses the slow, repetitive passage of time as its narrative engine. You watch the characters take entrance exams, struggle through summer heat, go on a disastrous beach trip, and eventually walk across a stage to receive diplomas. By the time the final episode rolls around, you aren't sad because a villain was defeated; you are sad because you have to say goodbye to friends.