Oh, there's so many pet peeves I have.... I'll try to keep it limited to three.
-Fake Strength: A character, often a minority character, is only considered 'strong' because they constantly put down other characters or other characters around them are incompetent. Tired of seeing the strong independent woman incapable of standing on her own. Women don't need to insult men every five seconds in order to be strong. If anything, it implies the opposite. I'm always relieved when female characters can stand on their own.
The Agent Carter tv-series' first season gives great commentary on this trope, where the titular Agent Carter feels like everyone is incompetent and she needs to be in a constant state of combativeness in order to stand strong, but has to learn to rely more on the people who want to help her and that that doesn't make her weaker than any of her colleagues, as long as she doesn't just take their nonsense.
(or at least, that's what I remember picking up from the show)
-Morally unnuanced: If a character implies killing a mass murderer makes you just as bad as the mass murderer, I get annoyed. If a character implies it's okay to murder a mass murderer, regardless of whether or not they surrendered and are easily taken into custody, I also get annoyed. I don't like it when they think so black and white. If you murder the mass murderer, you're not nearly as bad as a mass murderer, but you are still a murderer in that case.
We've all seen that annoying scene where the hero is stopped from going too far by another character, but then the characters spouts a complete nonsensical line. Or those action movies where the 'hero' murders dozens of people with little regard for their motivations or backgrounds. It usually takes me out of the story instantly.
-Morally unwavering: Similar to the previous one, I find it incredibly unlikable when a character does immoral actions, tries to defend them with statements about morality, fails to defend their stance in a meaningful way and continues pretending they did nothing wrong. Villains can do that, sure, but heroes?
One horrible example of this is in Star Trek: Discovery's first season (haven't watched after that). The main character Michael literally starts a war over her own incompetence, and never seems to be aware that she did something wrong and continues to act obnoxious and self righteous throughout the whole thing.
But those are just my two cents. I heard a lot of people like Discovery, so good for them.