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.
Broken Base: The episodes after John Ritter's death. Some people hated the idea of the show continuing, as the central premise was gone. However some fans feel the other characters gained a lot more depth as a result.
Creator's Pet: Kerry arguably, though mostly in season 1. Half the episodes seem to focus on her being moody because of Paul's attempts to relate to her and Paul continually learning to let her have her space. In the episodes after his death, she undergoes Character Development and becomes a little less one-dimensional.
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!
"Sex Ed" has a scene where - after Paul and Kerry talk about the awkward movie they saw together - Kerry says they'll have to wait a few years for their next father/daughter activity. Paul cheerily says "it's a date". He dies two episodes later. It's either tragic or a little funny that the aforementioned movie could have been their last father/daughter activity ever.
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.
Wangst: Kerry was guilty of this early on, though one episode post-Ritter has her defying the trope. She is caught with a bag of weed and Cate assumes she is acting out over Paul's death. Kerry angrily replies that she is sick of people assuming that is her reason for doing anything. She mentions a day when the school food was disgusting so she threw it in the trash - and got called to the principal's office for a talk on how she shouldn't starve herself to feel better after his death.