Continuity mistake: Fluttershy's neck disappears after she says, "I don't know if I can cheer enough to help her".
The Elements of Harmony (2) - S1-E2
Other mistake: At the end of the episode when Princess Celestia is talking to Twilight Sparkle you can see that Princess Celestia's tail is on top of her leg instead of in-between. It's covering her cutie mark.
Continuity mistake: When Rarity levitates the stick to mark a spot where she detected the gems, she drops the stick right after a guard "threatens" her. Then, in the same scene, the stick has mysteriously disappeared.
A Canterlot Wedding - Part 1 - S2-E25
Continuity mistake: When the main six are running away from the changelings, Applejack's hat isn't there. In the next shot, it's back. That happens for the next two shots.
The Elements of Harmony (2) - S1-E2
Continuity mistake: When the ponies encounter the Manticore, it raises its paws and shows its undersides and Fluttershy notices something, even though nothing was there. Then when they stop attacking the Manticore, it shows its paw to Fluttershy to reveal a thorn, but the thorn wasn't there earlier. (00:05:25 - 00:06:20)
Continuity mistake: When the characters reach the clouds and Rarity shows her wings, Applejack is wearing a helmet hat. But later on she has only a regular hat.
Continuity mistake: At the end of the episode, Fluttershy reveals that she still has a fang left over from when she was a bat pony. This wasn't carried over, and her teeth have been normal since.
Other mistake: During Pinkie Pie's 'Smile Song', there is a scene where Pinkie Pie is jumping on a skipping rope (jump rope). Initially, the rope is held by two other ponies. However, at one point, these ponies are no longer holding the rope and the rope is just floating there. It isn't held by unicorn magic otherwise there would be a glow that appears when a unicorn holds something with magic, neither is anyone's horn glowing.
Baby Cakes - S2-E13
Other mistake: During Pinkie's Piggy Dance, she pokes out between the two babies. The female baby shifts over, then a lump appears on her chest that should be her front right leg. However, the lack of a line makes it appear to be on her chest.
Continuity mistake: In Pinkie Pie's Smile Song, at one point, there is a magenta pony with a purple mane. To her right are a yellow pony and a violet pony. To her left, there are a blue pony and a turquoise pony. In the next shot, the yellow pony and violet pony are on the wrong side of the magenta pony, separated by a mint green pony that was to the right of both the yellow and violet pony in the last shot. When the spinning shot plays, pay attention to the left of the screen to see the wrong order of ponies.
Continuity mistake: During the "Stop the bats..." in the song, Rainbow is shown behind Flutter-shy, but when she walks in front in the same shot, the mane colours are swapped.
Other mistake: During the song, as the cardboard tree falls, Apple-Jack lifts her hoof in a way it couldn't possibly bend.
Continuity mistake: During the song, a bat spits out an apple that falls on its side. In the next shot, that same apple is upright.
The Return of Harmony, Part 2 - S2-E2
Continuity mistake: When the Mane 6 are running away from the changelings, before the fight scene, Applejack's hat disappears, reappears in the next shot, and then does the same again.
Continuity mistake: In Lesson Zero, when Twilight is going to collect the cupcakes, there are 12, then there are 10, and in the next shot the icing is all mismatched when it should be all pink.
Deliberate mistake: When Fluttershy is telling off the cockatrice, her back legs and her wings turn to stone. But when she gives it the stare and the camera is right in her face her wings are outstretched.
A Canterlot Wedding - Part 2 - S2-E26
Continuity mistake: In the shot just before it goes back to Twilight and Cadence when they are about to escape, it shows Lyra Heartstrings in the crowd. When the shot does go back to Twilight and Cadence, it shows Lyra as a bridesmaid. Likewise, in part 1, Lyra is still a bridesmaid.
The Elements of Harmony (2) - S1-E2
Other mistake: When Celestia is standing over Luna, her cutie mark looks elongated.
Continuity mistake: In the song, 'In Our Town', an earth pony spontaneously gets wings.
Factual error: Squirrels are seen woken from hibernation along with other animals, but squirrels don't hibernate.