In the opening scene, Linus and Charlie Brown are walking along the beach. Charlie stops and throws a rock out into the ocean, and Linus calls him on it.
Linus: Nice going Charlie Brown, it took that rock thousands of years to get to the shore, and now you've thrown it back!
Charlie: Everything I do makes me feel guilty...
When Snoopy is dictating to Woodstock his letter protesting the beach's new 'No Dogs Allowed' policy, he gets carried away and accidentally claims he's a taxpayer. The embarrassed look on Snoopy's face when he realizes his mistake was priceless.
When Snoopy is visiting the library and looking at the books, he for some reason decides to LICK them, then understandably grimaces at the taste.
Sally is browsing the books, pulling each one out slightly to look at the cover. The third she pulls out turns out to be Snoopy's nose.
Woodstock's "flying". He wasn't a very good flier even in the strips, but seeing it in motion is just hilarious. He twirls and even flies upside down as if he's constantly off balance.
Snoopy and Woodstock come to a sidewalk grate. Snoopy is big enough to walk across it, but Woodstock, fearing falling in, decides to walk up and down every metal bar, which takes him about a minute while Snoopy waits for him on the other side. When Woodstock attempts to do it again at a second grate, Snoopy just carries him across.
The boxing match between Lucy and Snoopy (with Snoopy wearing his glove on his nose). It's quite a tussle, but is decided when Snoopy kisses Lucy, causing her to scream and pass out.
Charlie Brown faints at the news about who Lila is. Several times. ...before Linus tells him the news!
Linus: Are you ready for a shock? [Charlie Brown promptly faints] Linus: He wasn't ready for a shock.
Charlie Brown keeps fainting several times during the exposition as well.
Charlie Brown and Peppermint Patty at the carnival. Just them entering the carnival is hilarious, because the first thing Charlie Brown does is get caught in the entrance turnstile, spin around it several times and then get thrown off. Peppermint Patty remarks that she has seen people get motion sickness from the roller coaster and the bumper cars, but never from the turnstile.
While going through the Barrel O Fun, a spinning tunnel, Peppermint Patty has no problem staying on her feet. Chuck...doesn't have the same luck.
After going on several rides, Peppermint Patty asks, "Aren't we having fun?" Charlie Brown, who looks half dead at that point, doesn't seem to agree.
The fortunes they get from the Fortune Telling Machine:
Peppermint Patty's card: You are a very loving person and your life will be filled with romance.
Charlie Brown's card: FORGET IT, KID.
While otherwise a very sad, emotional scene, the going-away party has a few. There's this part where Charlie Brown has speak to the entire room. Before he can make his speech, Snoopy starts sobbing. Charlie Brown then cries in the most hilariously forced way possible.
The ending has Snoopy typing letters to Schroeder, Linus and Charlie Brown. He demands the return of his presents from Schroeder and Linus but Charlie Brown's letter says since Snoopy gave him nothing, he owes Snoopy nothing.