One common theme is Deku facing injustice. This could be from his classmates not understanding him or society treating him unfairly. His anger then drives him to prove himself.
Sure. You can try searching on fanfiction websites like Archive of Our Own. There are likely many stories tagged with 'angry deku' there. Just use the search function and look for ones with high ratings and positive reviews.
He might cry a lot. Deku is very emotional, and being cheated on would be a very painful experience for him. He could also get angry, which is rare for him, but this situation would be so unjust that he might not be able to hold it in. He'd probably start to question his self - worth too, thinking that there was something wrong with him that made his partner cheat.
After Natsu gets angry, the plot might develop with other guild members trying to mediate. Happy might try to calm Natsu down while Gray could be in the middle trying to make both sides see reason. This could create a lot of comical and tense moments in the fanfiction.
Danzo could also be the one to make Naruto angry. Danzo's underhanded tactics and secrets might be exposed in the fanfiction, and if they were to directly harm Naruto's friends or the village, Naruto would be furious at his actions.
In fanfiction, if Deku gets kidnapped, his friends from U.A. High would likely launch a rescue mission. Bakugo might be especially determined, as much as he tries to hide his concern. They would use their quirks in creative ways to track Deku down.
There's also 'Injured and Alone'. In this fanfiction, Deku gets hurt while on a solo mission. It delves deep into his thoughts as he tries to survive in a dangerous situation, all while being severely injured. It's a great read for those who like character - centric stories when the character is in a tough spot.
Well, in the fanfiction, Deku might get a new look that changes how others perceive him. Maybe his friends at U.A. High are really surprised by his new haircut and it could lead to some funny or heartwarming interactions.