Arrowverse has been around for a while now and introduced multiple shows with different superheroes. One of the most significant ones is Legends of Tomorrow. The series currently has five seasons, and it's showing no signs of stopping down. Perhaps because there are so many heroes in the team who can keep it lively and new. Some of them have stayed for a long time, others left relatively quickly.
Despite their shared mission, no member of the Legends is the same. Each of them has a different character, just like in other Arrowverse shows. So that's also the reason why they would belong into different Hogwarts houses if they lived in another world.
Ava Sharpe: Ravenclaw
Ava Sharpe even has the fact that she's smart in her name - she has a sharp mind, after all. Ava has strong leadership skills as she proved first during her time at Time Bureau and then on the board of the Waverider.
She's capable when a crisis comes and knows how to deal with enemies, but she sometimes struggles when it comes to connecting with other people. Her intelligence nevertheless places her in Ravenclaw.
Behrad Tarazi: Hufflepuff
Behrad Tarazi appeared in the team when reality was rewritten and he replaced his sister Zari. Behrad was a good friend to Nate and his powers came in handy, but he wasn't overly ambitious and no scientific genius.
Of the two, Zari, who later also ed the team, is the smarter one. But Behrad is always ready to cheer others up and he's there for them when they need him, his loyalty making him a Hufflepuff.
Nate Heywood: Ravenclaw
Nate Heywood could also potentially be in Gryffindor since he's brave and willing to fight for his friends. However, his greatest ability isn't the fact that he can change his skin into steel. It's his rich knowledge of history that helps the team on their missions multiple times.
Nate is a historian, and he knows what happened when, where, and how the team should behave in different historical eras. Needless to say, they don't always listen to him.
John Constantine: Slytherin
John Constantine is a textbook definition of Slytherin. He's smart and cunning, able to trick his enemies and various villains the team faces when the situation asks for it. He also isn't big on friendships (or relationships in general).
John doesn't want to the team at first but changes his mind in the end. Still, even when he finds friends among the Legends, he still prefers to fly solo from time to time and is fiercely independent.
Ray Palmer: Gryffindor
There's no way that Ray Palmer could belong to a different Hogwarts house. Yes, he's a brilliant scientist and an inventor - but at heart, he's also a geek and a great and loyal friend above all.
Ray used to be the heart and soul of the team, cheering them up and letting them confide in him whenever they needed to. In the end, though, he decided to leave the ship and start a new life with his now-wife Nora Darhk.
Mick Rory: Slytherin
Mick Rory started out as a criminal and even though he later turned over a new leaf (well, more or less), the Slytherin in him is impossible to deny.
Mick's resilience and ability to find his way out of problems have proved useful for him before, as well as for his team. There's more to him than meets the eye, but like Slytherins, Mick likes to keep his softer side (read: weaknesses) to himself.
Captain Cold: Slytherin
Even though he didn't stay on the show as long as the others, Captain Cold was an important member of the team - who sacrificed his life to save Sara and the others.
That proves that even Slytherins can be genuinely concerned about other people and put their well-being above their own. Captain Cold was super smart and cunning, the brains behind every crime he committed. And while he seemed distant, he was able to build strong relationships with a few chosen people.
Mona Wu: Hufflepuff
Mona started out in a small ing role while she worked for the Time Bureau - but she eventually became a member of the team and a real hero. Mona is a friendly and deeply loyal person who tends to take care of other people, make sure they're doing alright.
She was one of the first people who treated Nora Darhk with kindness while she was a prisoner of the Time Bureau, and she also fell in love with another prisoner, Kaupe.
Rip Hunter: Gryffindor
Without Rip Hunter, there would be no episode. It's true that he was able and willing to manipulate others to achieve his goal - a trait that would put him in Slytherin.
However, Rip also cared about each member of his team and when the time came to prove it, he wasn't afraid to sacrifice his life for them which was very brave and Gryffindor-like from him.
Sara Lance: Slytherin
This article wouldn't be complete without Sara Lance aka the White Canary since she was the team's leader for the longest time ever.
Sara isn't an evil person, not by a long shot, but she struggled with her darker side in the past - which was caused by her hip in the League of Assassins and also her death and subsequent resurrection. Sara's also smart and determined, traits typical for many Slytherins.