“open” relationship can mean (1) they can see other people or (2) they open their boxes even before Christmas. Here it means both.
In an other things in human situation you make analogies between corresponding parts, often in puns.
lid off = clothes off
open relation= pun, because you open presents=pun, because you want to see other people
Where there have been countless variants of the “My wife! And my best friend!” cartoon, I thought this one was pretty clever.
The characters are sufficiently identified by the situation and the dialog, but I think the drawing might have been a little clearer if the ribbons on the two “male” boxes had been drawn as bow ties, rather than hair ribbons.
Patrick is such a square.
Also, judging by Angie, the boxes are empty, so why does Patrick need to carry a briefcase when he could instead just dump all of his business supplies or whatever inside himself?
I happen to think “My wife! And my best friend!” should have been retired after the one where the man walks in on his wife and his dog: nobody’s going to improve on that.
Let’s think of every possible inanimate object that can open the door of a house.
“Also, judging by Angie, the boxes are empty”
Maybe Angie is hoping to put a new little box in there, and her husband hasn’t been able to do it.
Comics I Don't Understand 
“open” relationship can mean (1) they can see other people or (2) they open their boxes even before Christmas. Here it means both.
In an other things in human situation you make analogies between corresponding parts, often in puns.
lid off = clothes off
open relation= pun, because you open presents=pun, because you want to see other people
Where there have been countless variants of the “My wife! And my best friend!” cartoon, I thought this one was pretty clever.
The characters are sufficiently identified by the situation and the dialog, but I think the drawing might have been a little clearer if the ribbons on the two “male” boxes had been drawn as bow ties, rather than hair ribbons.
Patrick is such a square.
Also, judging by Angie, the boxes are empty, so why does Patrick need to carry a briefcase when he could instead just dump all of his business supplies or whatever inside himself?
I happen to think “My wife! And my best friend!” should have been retired after the one where the man walks in on his wife and his dog: nobody’s going to improve on that.
Let’s think of every possible inanimate object that can open the door of a house.
“Also, judging by Angie, the boxes are empty”
Maybe Angie is hoping to put a new little box in there, and her husband hasn’t been able to do it.
Bill, I think Daniel Corsetto improved upon it. Just because of how she formatted the joke.
I notice that it’s (she’s?) one of those easy-open TV-style prop presents, so that the viewer doesn’t have to sit through 30 seconds of unwrapping.
I think the joke would have been funnier if her wrapping was on the floor (or draped over the sofa or something) to better show she was “undressed”.
As drawn, she’s just sorta “topless”, but in a weird way.