In Dizzy Pilots, Moe falls into a tub of tar, and to get the tar off of him, Larry and Curly cut a hole in his clothes and begin filling it up with gas. Hilarity Ensues as Moe begins to float away when Larry and Curly aren't looking, and they spend the next sizable chunk of the episode trying to get Moe down as he sobs. He eventually floats through an opening in the ceiling and into the sky. Moe crying makes it ten times funnier.
One of my personal favorite Getting Crap Past The Radar moments is from the short Dizzy Pilots, the Stooges are stuck in a crashing plane, with Moe and Curly holding on to each other firmly in terror. What follows is this exchange:
Larry: Hey, you two going steady? (Moe slaps Larry)
The Running Gag in Horses Collars, where any time Curly sees a mouse, he goes batshit and clobbers everyone and everything around him while yelling "Moe! Larry! The cheese!" over and over. It comes to a head when he puts one arm into the sleeve of the villain's coat and repeatedly spins around punching the villain's sidekick, and then turning the let the villain catch his sidekick's retaliatory punches.
The clay fight itself is one of the funniest "messy substance" fights of the Three Stooges, just because the clay looks so sticky and gross. The point where it hits a woman right in the behind is especially funny.
While Boobs in Arms is among their best shorts to begin with, the finale —starting with the Stooges accidentally bombing themselves with laughing gas and ending with them riding a speeding shell into the horizon while still madly cackling— is one of the most hysterically funny scenes of their entire filmography.
The Shemp short Punchy Cowpunchers is chock full of these but some of the highlights include: one of the stooges tries to throw a horses' saddle onto a horse but instead the saddle flies over the horse and hits the police sergeant instead; Shemp going to strike a horseshoe against an anvil only for the shoe to fly off the anvil and hit the sergeant, the sergeant then getting pissed and lunging at Shemp and Shemp shoving him against a pillar where the sergeant is hit with several more horsehoes.
The brief and inexplicably hilarious moment in Violent is the Word for Curly when Larry spaces out to the sound of birds chirping and Moe quickly slaps him back into reality.
A really funny one which also counts as a CMoA for Curly happens in Calling All Curs. It starts off with Moe giving orders via the intercom which Curly refuses to do.
Moe: Oh, mutiny eh?
Curly: Yeah mutiny, and it ain't on the bounty! (STICKS OUT TONGUE)
Then Moe punches Curly through the intercom, in the face. Moe's head pokes out of the intercom, implying he between the walls into it to hit Curly. However, Moe gets stuck there with his face still poking out of the intercom. Cue Curly pluck Moe's eyebrows while saying "She loves me, she loves me not" over and over until the scene ends.
In "In the Sweet Pie and Pie" a dance teacher is about to teach the boys some dance moves when a bee goes down her back, causing her to gyrate, trying to get the bee out. The boys, thinking this is the dance, do the same. They end up following her as she jumps out the window and into a fountain.
Curly's battle with the still-living oyster in his oyster soup, in the short "Dutiful But Dumb". Truly Curly at his best.
Disorder in the Court has plenty, but one of the funniest is this mix up:
Judge: Take off your hat!
Curly: *Takes off his hat and holds it in his right hand*
Court Clerk: Raise your right hand!
Curly: *Irritably puts his hat back on his head and raises his right hand, holding a cane in his left hand*
Court Clerk: Now put your left hand here!
Curly: *Puts his cane in his right hand, lowering it, and putting his left hand on the bible*
Judge: Take off your hat!!
*process repeats a couple more times until eventually Curly puts the hat on his cane and raises his right hand while holding the cane with it*
Eventually, the hat ends up on the Clerk's head, with Curly telling him "Now raise your right hand!"
In the short Idiots Deluxe, Moe is recovering from a nervous breakdown, guzzling medicine and pills and muttering "Oh my noives, oh my noives." A cat is seen quietly walking across the floor. Moe shouts "Quiet!! Quit stomping around!!" before throwing things at it.
Later in the episode Larry remarks that the place they chose to camp at is on good hunting grounds, because he saw a sign that said "Fine for Hunting".
In the same short is a scene where Larry and Curly are driving with an (unbeknownst to them) live bear in the back seat slapping them both in the back of the head repeatedly.
Larry: What's the idea hittin' me in the head?
Curly: I hit you because you hit me.
Curly: I didn't hit you!
This little exchange near the end of the episode, after Curly and Larry thought Moe was dead, was brilliant:
In Ants in the Pantry the boys are called to the boss's desk for a job (they are exterminators. Larry has a bear trap.
Moe: What's the idea of the bear trap?
Larry: You never know, we might meet up with a bear.
Moe: Yeah...Meet my bare hand! (slaps Larry)
Another funny part later in the episode occurs when someone tries to play the piano that the stooges had hidden several cats inside while secretly exterminating pests from a mansion (which they themselves infested). Hilarity ensues.
In the short where they meet 'Peeping Tom', a haunted suit of plate mail who watched lady Godiva ride through Coventry (and that mauls them when they try to remove it), at one point the boys have to remove a chest. It's too heavy so they start taking it piecemeal... only to discover its occupant, 'Red'. As Shemp says, "Ohhhh... Red Skeleton! For that matter the two skeletons playing a chess game were pretty good too: "Go on! Make your move! Don't sit there like you're dead!"
The scene from Higher Than a Kite, where Moe's head gets stuck in a pipe and Larry and Curly try to get him out with a crowbar and by heating the pipe over a fire. Then they put the pipe in a vice and try to pull Moe out, but his neck just stretches like rubber. Finally they twist him out.