British Education System: Pete's a teacher; he's actually portrayed in a relatively positive light. Though that said, he has caused two school complaints (it's worth noting one case was something he had no idea about and another was simply the result of somebody seeking to cause trouble)).
Like Father, Like Son: He considers the sensitive Jake to be this, and worries that he'll get picked on like he did growing up. Sue disagrees but Pete turns out to be right when its revealed Jake is being bullied.
Nice Job Breaking It, Hero: He rectifies a eulogy to mention a deceased man's gay partner and the fourteen years they spent together. While the people at the funeral mostly praise him for this, the partner does not, claiming that he asked the previous writer not to mention it and that he would rather stay out of the limelight so the mourning is not overshadowed.
That Came Out Wrong: When asked whether he fancied a woman who kissed him when he was drunk, he said that while drunk he may have done, but he might as well have fancied every woman in the room. Sue is not impressed and Pete mutters this word for word.
Arson, Murder, and Jaywalking: When she reads Angela's draft of her first novel in series 4, she reads out a paragraph that has Angela accusing her of abandoning her mother, being a drug pusher (in terms of love) and spells the word mother as "mom". Thankfully this isn't brought up when Sue confronts her over it, though she does mention that the bike Angela got was better than hers.
Aww, Look! They Really Do Love Each Other: After it's revealed Pete kissed another woman, she's angry but appears to realise that the Brockmans are fairly well off compared to Angela, before she subverts this trope once the kids are out of sight. Double Subverted when Karen is hit by a car and she realises the grudge is insignificant.
Berserk Button: When she finds out that Pete drunkenly kissed another woman, she refuses to talk to him properly until Karen is hit by a car.
Cain and Abel: Rare female and fairly nonviolent version with Angela.
The Fun in Funeral: Not on purpose- whenever she goes to one a funny memory of her deceased mother pops back up in her mind, and has ever since her mother's funeral.
Can't Hold His Liquor: Drinks too much for the first time in the Christmas Special (well, before it starts) and throws up in somebody's bin, leaving him with a hangover on Christmas morning. It's implied he wasn't used to it due to not having built a tolerance.
Character Development: Starts off as a quiet and sweet natured worrier, who suffers from bullying and often acts as the only calm spot in his otherwise crazy home. Come Season 3 and 4, he is moody, difficult and apparently dating a pole dancer. Justified as he is hitting his teenage years and such changes are common.
The Everyman: While Ben and Karen are portrayed as extremely challenging, Jake is by far the most normal of the three children.
Like Father, Like Son: Pete considers him this, though Sue disagrees. While Jake is noticeably 'cooler' in the fourth season, for most of the show Pete does have a point as they're both sensitive, rather geeky, badly bullied, struggle with girls and frequently play peacemaker.
The Quiet One: Is this in his chaotic household. Season 2 has his exhausted parents arguing over who gets sit next to him on the plane.
Jail Bait: Gets this as a nickname when it's revealed that he's dating a 19-year-old poledancer and pretending to be seventeen. She's not actually 19, she's 16.
Blatant Lies: It's all part of his character, but as time's gone on it's become less prominent. It gets mild Deconstruction along with his Iron Butt Monkey status, see that trope further down his section to see why.
Iron Butt Monkey: Injured the most out of all the children, for fairly obvious reasons. Thankfully most of it is offscreen. This gets mild Deconstruction as the hospital he frequently goes to begins to suspect abuse on the part of Sue and Pete, and this isn't helped by Ben's exaggeration. It's not followed up on, thankfully.
Morality Pet: Misty serves this role to her at the end of season 4.
Smug Snake: Often does her best to appear superior to Sue, such as when Sue suggests they turn over a new leaf, Angela replies, "Sue, I've turned over two new pages. In fact, I've turned over a whole novel." before sauntering off.
Grandad/ Frank Morrison (David Ryall)
Sue and Angela's father, who is now living without his wife after she died a year before the series started.
Jerk with a Heart of Gold: A lot of his irrational or angry behaviour is due to his memory problems and the confusion that results. He's also very fond of the kids but can't handle them for too long (to be fair, given how dysfunctional they are he does a good job).
Mood Whiplash: Any scene with his dementia and Sue struggling to cope often cut to the kids and their usual antics, and vice versa.
Noble Bigot: Slightly racist towards the Koreans, Chinese and Japanese. With the former it's because he fought in the Korean War, with the latter it's because they were enemies of the allies in WW 2, when he was growing up.
Put on a Bus: Went to an old peoples home towards the end of Season 2, though he has appeared twice since, in both the Christmas specials.
Retired Badass: Fought in the Korean war and proudly mentions it, somehow finding a Chinese soldier's jawbone along the way.
Screw Politeness, I'm a Senior!: He's surprisingly foul mouthed for a man his age, though this is somewhat justified when you take into account the fact that he fought in the Korean War. Lampshaded when Ben retells a tale ending with "a prozzie spitting in his rum" and Pete mentions that leaving him alone with Ben was not the best idea.
Throw the Dog a Bone: In the Season 3 Christmas special, Pete takes pity on her when one of her boyfriends sends her a really harsh text, saying that nobody should get something that harsh and that it's Christmas.
Too Dumb to Live: Nonlethal example, but her idea for curing her vomiting problem was to drink a bottle of red wine on top of some trifle she ate earlier, not to mention her idea to come to a party with serious vomiting problems.
The next door neighbour of the Brockman family, she is described as being perfect in pretty much every way.
Broken Pedestal: Everybody had hyped her up to be a perfect person and neighbour, but ultimately all this fell apart when it turned out that she ended up beating her husband.
Double Standard: Abuse, Female on Male: Fully averted, as everyone treats her beating her husband very seriously, though they initially thought it was the other way around and are a bit surprised when they hear this.
Good Parents: From what we see. Even when she's busy shouting with her husband, she sends her kids away to her mother so they don't get caught up in the mess.
Unknown Rival: She has one in the form of Sue, who gets annoyed by her seemingly being perfect.