Continuity mistake: When Rory and Lorelai are testing cakes for the wedding at Fran's bakery, Rory is seen taking pieces out of the raspberry cake several times. However when the angle changes you can see that the cake is whole as if none of it had been eaten.
Continuity mistake: When Emily, Lorelai and Richard are going to take the picture, Richard lifts his arm as if he is going to put it around Lorelai's shoulder. The angle changes and his hand is no longer raised. He then raises it again before finally lowering it.