Many for Hobbes. Basically any time he provides clever commentary or attacks Calvin returning from school.
Calvin's babysitter Rosalyn got one in her final appearance. After previously having to resort to threats and brute force every time she babysat Calvin, she finally beat at him at his own game, literally. The moment she realized that the purpose of Calvinball is to make up new rules all the time, she immediately got into the game and eventually used it to make Calvin go to bed without any more fuss. More than that, Rosalyn figured out just how to deal with Calvin in general. By engaging with him on his own terms, she not only got Calvin to behave, she got him to voluntarily do his homework.
Calvin: Man, she picked up the nuances of this game fast! Rosalyn: Ha! This is fun!
The real Moment of Awesome in "Let's go exploring!" is that it's probably the most remembered final line in any newspaper strip.
Let's be frank, not many comic strips get final lines. And on that note, for Watterson to gracefully bow out after ten years, keeping the comic from getting stale and opening a great big gaping hole to potentially be filled by new creators, is heartwarming in and of itself.
Any of Calvin and Hobbes' arguments, especially the croquet match.
Susie inviting not Calvin, but Hobbes to her birthday party, writing on the back of the note that he "could bring that stupid kid you hang around with, if you must."
Calvin of all people getting an "A" on a paper. Considering his grades?
In certain subjects like creative writing, he was nothing less than a savant.
Every time that Calvin got an insult in at Moe, usually paired with an Expospeak Gag.
Calvin: Your simian countenance suggests a heritage unusually rich in species diversity.
Mom: Calvin, the fact that these bands haven't killed themselves in ritual self-sacrifice shows that they're just in it for the money like everyone else. It's all for effect. If you want to shock and provoke, be sincere about it.
Calvin: Mainstream commercial nihilism can't be trusted?
Mom: 'Fraid not, kiddo.
The Art Shift that accompanies any intro to 'Tracer Bullet'. Usually coupled with a hilarious, totally deadpan Film Noir self-introduction.
The name's Tracer Bullet and I keep two magnums in my desk. One's a gun, and I keep it loaded. The other's a bottle, and it keeps me loaded. I'm a private eye.
The "Little Raccoon" story, which is considered by many fans to be the best Calvin and Hobbes comic strip to be ever made. It even qualifies as a Moment of Awesome on Calvin's part because for a six-year-old, it clearly shows that Calvin actually has a soft side. He takes initiative in the situation, and he and his parents work together to try to save a badly injured raccoon. Even though the raccoon doesn't make it, he is still glad he found him even though he had to say goodbye forever. It is also awesome in the way that this story resonates with a more emotional story without being melodramatic.
Calvin: I know, I'm crying because out there he's gone, but he's not gone inside me.
A recurring joke is Hobbes pouncing on Calvin whenever he comes home from school, and Calvin's attempts to subvert this. The times he succeeds are awesome, but the crowner would be the strip where Calvin walks up to the door and shouts: "I'M HOME!" the door shakes, and Calvin opens it to tell the concussed Hobbes: "You'll notice I didn't say I was inside."
From the arc in which Calvin brings Hobbes to school with him: Hobbes scaring the crap out of Moe◊. Though it was more likely because Moe thought a teacher was watching and was afraid of getting caught.
Anytime Calvin as Spaceman Spiff manages to actually "save the day," such as when he solves a math problem in one strip.
One Sunday strip involves Calvin imagining himself as a commercial airline pilot. When he's given clearance to land, a rival plane makes for the same runway to land early, resulting in, as Calvin puts it, "a 600-mph game of Chicken!"
Any of the few times Calvin manages to outsmart his parents and seemingly get away with it. Such as the time he pulled a Look Behind Youat the dinner table and dumped all his food on his mom's plate while their backs were turned.