One idea could be that Broly somehow ends up in the world of Black Lagoon. He might initially be seen as a huge threat by the Lagoon Company. But as the story progresses, they realize his power can be useful against their common enemies. For example, when facing powerful crime syndicates or military forces that are too much for them to handle alone.
Well, Broly is extremely powerful and has a short temper. The characters in Black Lagoon are tough but not on Broly's level. So, there would be a lot of tension at first. For instance, Revy from Black Lagoon is used to being in control in a fight, but Broly would completely overpower her. This would create a power struggle within the group.
If Broly participated in the Tournament of Power, he would be an absolute powerhouse. His raw strength and uncontrollable rage could either make him a wild card that disrupts the whole tournament or a key player for his team. He might start by randomly attacking opponents without much strategy, but as the fight goes on, his natural fighting instincts could kick in and he could become a real threat to the strongest fighters in the multiverse.
Bulma could be another character paired with the reborn Broly. She might be the one to help him understand the modern world if he is reborn in a different time period. She could use her intelligence to create devices that help Broly control his power better or she could just be there to provide some comic relief in the midst of all the intense Saiyan drama.
He could team up with Luffy. Luffy is always open to new allies, and Broly's power would be a great addition to the Straw Hat crew. They could go on adventures together and face powerful enemies.
Goku could be a likely ally. Despite their initial conflicts, Goku has a way of seeing the good in people. He might approach Broly and convince him that they can work together to win the Tournament of Power for their universe. Their combined strength would be a formidable force.