These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Paul: I don't think I can sleep, Cate, my heart is racing. Here, you're a nurse, feel my heart.
Cate: There's nothing wrong with your heart, Paul.
Paul: What do you know, you're not a doctor, you're just a nurse.
Also in the episode Trick Or Treehouse Paul says that Kerry "cheated" with the ouija board, he says "I'm pretty sure Paul Hennessy is not dead". Talk about tempting fate!
Kaley Cuoco's leg injury occurred again in Big Bang Theory but it was almost so bad she would need to amputate it.
Hilarious in Hindsight: The scene where C.J. mentions having a satellite photo of Osama Bin Laden's hiding place is even funnier now for obvious reasons.
Hilarious might not be the right word, but the fact that Katey Sagal and Adam Arkin's characters dated certainly seems strange in the light of season 2 of Sons Of Anarchy. In that show, Arkin played a white supremacist who ordered his lieutenant to repeatedly rape Sagal's character.
Tear Jerker: The hour long episode which dealt with Paul's death, and the episodes immediately after which showed the family trying to cope all fall under this.
In his introductory episode, slacker C.J. is flat out asked by his grandfather why it took him so long to come and pay his respects to his Uncle. C.J. responds that he didn't want to, because Paul was the only person who ever told C.J. he could go on to do great things and he felt that by showing up as a loser living in his van would simply be disrespectful.
One episode featured Hennessey's returning to "the Cabin at the lake", a frequent vacation spot of the family prior to Paul's death. Remembering the last time they were there, Paul tried carving "Hennessey" into the wall behind a painting, Cate removes the painting... And finds that all Paul had managed to do was carve "Hi" into the wall. Becomes a CMOF for C.J. when he whispers to his grandfather that he's scared by Paul's apparent message from beyond the grave.
What an Idiot: The decision to keep the show running after John Ritter's (the main character) death. It's frequently referred to as one of the worst decisions in TV history.