http://tvtropes.org/pmwiki/pmwiki.php/Characters/IDontRunAnOrphanageUAStudentsAndStaffs

U.A High School is a prominent academy where most of the high-ranking heroes graduated from. They started to involved in the story when the government requested their assistance to aid D.O.C and Midoriya Foundation.

Unless mentioned, assume tropes related to their canon counterparts already apply.

BEWARE OF BOTH MARKED AND UNMARKED SPOILERS

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General

U.A Students

Class 1-A

Yuga Aoyama

Quirk: Navel Laser

Ashido Mina

Quirk: Acid

Friend to All Children: Very. It's the reason Iida chose her and Tsuyu as the pair that teaches the Foundation kids with the lesson plan he and Yaoyorozu build.
The Gadfly: Teases Ochako about Izuku a lot of times.

Tsuyu Asui

Quirk: Frog

Tenya Iida

Quirk: Engine

Innocently Insensitive: He has his moments. He tries to avert this when he pointed out how Fu didn't seem to enjoy his time in Mighty World despite joining his family there instead of staying at home.
"I was aware that Todoroki was emotionally distant but I didn't know he was this out of touch!"

Ochako Uraraka

Quirk: Zero Gravity, One for All

A U.A. student Izuku meets when her mentor All Might visits the Midoriya Foundation. Her Quirk allows her to change the gravity of the things she touched

Adaptational Badass: Thanks to having One for All, she has Super-Strength and her Quirk has evolved so she can add weight to an object. This led her to be one of Class 1-A's The Ace.
Best Friend: She becomes Izuku's best friend.
Ship Tease: Keeps getting these moments with Izuku. The story tags reveal the two will end together.

Mashirao Ojiro

Quirk: Tail

The Mentor: He teaches Kiba about martial arts.

Denki Kaminari

Quirk: Electrification

Eijiro Kirishima

Eijirou Kirishima

Quirk: Hardening

Koji Koda

Quirk: Anivoice

Rikido Sato

Quirk: Sugar Rush

The Mentor: Of Fukunoko's cooking Skill.

Mezo Shoji

Quirk: Dupli-Arms

Kyoka Jiro

Quirk: Earphone Jack

Sero Hanta

Quirk: Tape

Fumikage Tokoyami

Quirk: Dark Shadow

One of class 1A students. His Quirk is manifested as a living, sentient shadow that can change sizes.

Old Shame: He used to be a Chuunibyou, which triggers a lot of flashback when facing Kiba.

Shoto Todoroki

Quirk: Half-Cold Half-Hot

One of U.A.'s The Ace in class 1-A and son of Endeavor, the No.2 Hero, His Quirk allows him to create both ice and fire, but he swore to never uses the latter

No Social Skills: This got him in a lot of trouble. He shows Kiba the number of property damages she caused to the mansion, unaware that it will solidify her opinion that it is her fault that Izuku collapsed from overwork. And since he never really interacted with his classmates, Ochako bought Yonda's lies that he looked down on her because she thought it was in character for him to be The Proud Elite.
The Proud Elite: Ochako presumed him to be one.

Tooru Hagakure

Quirk: Invisibility

Adaptational Badass: Queen Of Eternal Darkness is supposed to be set before USJ Arc, but she is already able to use her Blinded by the Light move she was supposed to get at Provisional License Arc.
Face Your Fears: She has Arachnophobia, but she is trying her best to not judge Shiruku.

Katsuki Bakugo

Quirk: Explosion

Katsuki Bakugo was Izuku's former bully, who now entering U.A. high under certain restrictions.

Adaptational Karma: People found out about his bullying record, causing him to be avoided by the other students and barred from participating in U.A.'s Sports Festival in his first year.
All of the Other Reindeer: Most of his classmates avoided him due to his record, and he did not join the rest of the class who goes to the Midoriya Foundation to assist the Foundation.
Hated by All: The Foundation children hated him for bullying their dad.
Jerkass Realization: He saw that the comments on the fake video of him Suicide Dare Izuku condemn him, realizing that he was lucky that Izuku did not follow through.
No one thought it was out of character for him to say something that horrible. Everyone believed he would do that, even his own parents admitted to thinking the video was real at first.
He wanted to be angry about that…but he actually HAD said that. So technically, he was the kind of person to say that.
And that…frightened him a little. Because people who'd done things like that had actually gotten people killed. What if Deku had actually taken his own life?
The Rival: To Ochako Uraraka. She never holds back against him since she knows more detail of his bullying past and is a friend to Izuku.

Hitoshi Shinso

Quirk: Brainwashing

Adaptational Early Appearance: Taking Izuku's spot as a hero class student.

Minoru Mineta / Minerva

Mineta

Minoru Mineta / Minerva Mineta

Quirk: Pop Off

The Corrupter: Played for Laughs. He is the reason the kids learned about Gacha and got addicted to it.
Open Mouth, Insert Foot: Saying that he can see Kiba won't lose her prettiness/cuteness by puberty, causing Izuku politely hoping he mean it as a compliment.

Yaoyorozu Momo

Quirk: Creation

Mistaken for Racist: Is trying to avert this by asking if it's okay to refer to Quirkless as a "condition".
Sheltered Aristocrat: She wasn't really aware of just how many parents are willing to throw their kids out or abuse them. There's a reason Kaminari calls her, Iida, and Todoroki "Privileged Trio".

Class 1-B