Handcuffed - S4-E18
Plot hole: Chrissy's policeman cousin informs the roommates that there was a complaint from a neighbor about her husband on his roof watching the girls dance in The Apartment with binoculars. However, when the girls were dancing, the front door was fully closed and the very thick drapes were fully closed so how could such a complaint exist?
Plot hole: Janet and Chrissy accuse Jack of making the fake BBQ telegram. However, Jack was at The Apartment the whole time, never left once until after he found out Lori was the one who made the telegram. If it was Jack who made the fake telegram, he would have had to leave The Apartment to do that.
Suggested correction: True, there's no logical way that Jack could have sent the telegram. But Janet and Chrissy were upset about it - when someone's upset, they don't always think in a logical way.
Or he could've called Larry and had him set it up but I don't think he ever used the phone to call anyone.
Plot hole: At the party, when Jack tries to suddenly stop many guests from eating his tainted cake, he knocks away the cake from many people to prevent them from eating it - but at least two minutes or so have gone by since the guests were given the cake slices so most likely, many (if not all) the guests would have tried the cake within those two minutes. And yet somehow Mr. Roper was the only one who is revealed to have actually tried the cake in all that time.
The Case of the Missing Blonde - S5-E21
Plot hole: After being stuck inside the phone booth, the police officer arrests Larry for vandalism after Larry breaks the glass in the phone booth. In a real-world situation, an officer would most likely let someone go without arrest if the person got stuck inside like that (declaring an emergency) and couldn't get out without breaking the glass.
Plot hole: How could a blind man (Jim Walsh) just find Jack's apartment like that? Phoning from the Reagle Beagle, Chrissy simply states "you're nearby to us" and then hangs up the phone (without giving the address). Even if he was given the address, being blind he would not be able to find the building, let alone the right unit that quickly, but he knocks on the door within 5 min of the call.
The Not-So-Great Imposter - S5-E9
Plot hole: All these characters (the bookie, policemen, the sister, the husband) were after David Miller and all come to attack Jack in some way (thinking Jack is David Miller). However, a big city like LA most likely has several David Millers so why would they all assume this David Miller is the one they're looking for? So even though Jack's name could have been David Miller, how would everyone think he is the one they're looking for?
Suggested correction: These are questions, not plot holes. First, Jack and the restaurant are in Santa Monica, not LA. At the time, Santa Monica had a population of around 88,000. While the article was printed in the LA Times, there wouldn't be a lot of famous, professional chefs, working/living in Santa Monica named David Miller.