Peter's glasses suddenly disappear off his face when he shakes the man's hand after yelling he needs an adult.
When you see the ol yeller cutaway the top gun disappears and reappears.
After the valet who mistakes Chris for a van has left, Lois' mouth briefly disappears.
When Lois pushes Stewie out of the front door on the cart, he is facing towards the door but when it cuts to him rolling down the pathway he is facing the other way.
In this episode, Peter gets plastic surgery and doesn't wear glasses any more. While he is waiting in line at the market he's wearing glasses, but a few seconds later they disappear.
The time-line makes no sense. Following major surgery like liposuction, it is not possible to return home immediately. Patients are laid up for days and weeks in hospital.
It makes no sense that Lois should not have heard of the Beautiful People's club. She would of course be a member.