During "Dig Dig Dig", the dwarf mine makes some... unusual echoes.
Bashful: In a mine! Echo: In a mine! Sneezy: In a mine! Echo: In a mine! All together: Where a million diamonds... Echo: Shine!
The scene where Sneezy sneezes underneath the coat he and Dopey were wearing (which results in the coat briefly inflating to twice its original size and Dopey flying out from the top onto one of the beams near the ceiling), was hilarious enough in one's childhood that rewinding and rewatching fifty times in one session was highly necessary.
When Dopey diligently locks the mine vault, then hangs the key neatly on its peg. Which is next to the door. Which renders the entire procedure meaningless, but Dopey is so innocent you don't hold it against him. It's still funny, though.
There's a very darkly humorous scene after the Queen becomes the Hag. She walks down through the dungeon and comes across a skeleton reaching for a bucket of water. Her response? "You thirsty? Here, HAVE A DRINK!" *kicks bucket*
The birds making a loud screech to scare the dwarfs.
Snow White imitating Grumpy when she first meets him.
Snow: Oh... (Crosses arms and deepens voice) you must be Grumpy.
All of Grumpy's lines before he starts to grow fond of Snow White. All of them. He's just so hilariously against her while all the other dwarfs are fawning all over her as if she's a goddess.
Grumpy: Angel, ha! She's a female! An' all females is poison! They're full o' them "wicked wiles."
Bashful: ...What are "wicked wiles?"
Grumpy: I don't know. But I'm ag'in 'em.
Dopey in his sleep.
Dopey with the soap; it constantly slips out of his hands until, after charging towards it, he swallows it by mistake. Despite the fact that he immediately starts to hiccup out bubbles, he doesn't realize where the soap was until about ten seconds later, and after a slight pause, he goes into a hiccuping frenzy that lasts for the rest of the hand washing scene.
The reason he needs the soap is to wash Grumpy. But the dwarves are already washing Grumpy with two bars of soap. One gets the idea that the dwarves just have soap bars lying around, and they tell Dopey to get one when they want him out of the way.
The whole washing sequence, starting with the dwarves surrounding Grumpy with Not So Innocent Whistling and ending when Snow's call to supper makes them drop Grumpy unceremoniously into the tub.
Sneezy yodeling with Dopey bobbing his head with his adam's apple.
Snow White's first entrance in the dwarf's cottage.
Snow White: Oh !! (the animals run away in fear) What a cute little chair.
Grumpy sticking his tongue out at Snow White.
"NOW I'LL BE FAIREST IN THE LAND!!!" Why is this funny? The Queen yells this while still in her Old Hag disguise.
A behind the scenes example: one animator was animating Snow White lying on her bier while her friends mourned her, while Fred Spencer was animating the dancing sequence; both done to music to set the mood. Cue them both yelling at each other "Cut the sad stuff!" and "Stop dancing in there!"