Continuity mistake: After Dumbledore gives Newt the card for the safe house in Paris, they teleport to a bridge where they continue talking. Dumbledore then tells Newt why he likes him so much, and in the side shots, Newt is shown holding the card up. When it cuts to angles from behind Dumbledore's shoulders, his arm and hand are much lower with the card and his head turned in a different position. (00:20:35)
Other mistake: McGonagall appears as a young professor at Hogwarts, even though the movie is set in 1927 and she wasn't born, according to the official Harry Potter canon, until 1935.
Suggested correction: JK Rowling, who had admitted she's terrible at math, has changed her mind about McGonagall's age multiple times. First she said she was 70 in 1995 (putting her birth year as 1925), then on Pottermore she said she was born in 1935, then after this movie came out she nixed that section of Pottermore and left her birth year unconfirmed from then on. If the author who created this world can't make up her mind on how old she is, we can't definitively give her a year of birth either.
Continuity mistake: At Hogwarts when Dumbledore is asking a student what his 3 mistakes where, the student is backing up with his wand down by his stomach. Right before Dumbledore shoots a spell at him, the angle changes and suddenly the student has his hand extended out in front of him, pointing his wand at Dumbledore. (01:02:00)
