It could be an old enemy of the Power Rangers who has a grudge against them. Maybe a villain they thought they had defeated before.
In this fanfiction, the kidnapper might be a new, mysterious character. This character could be from another dimension and has come to the bridge to kidnap someone as part of a grand plan to gain power over the Power Rangers' world. They might have special powers or abilities that the Rangers have never seen before, which would make the rescue mission even more difficult. Another possibility is that it could be a group of smaller villains who have banded together specifically to target the bridge and the person there, thinking that by kidnapping this person they can force the Power Rangers to do their bidding.
Maybe in this fanfiction, the bridge is a special, magical bridge. The kidnappers chose it because it has some sort of power they want to use for evil. The Power Rangers would first need to figure out why the bridge was targeted. They could call on their Zords and use their advanced technology to scan the bridge for any hidden secrets. Along the way, they might encounter some allies or old enemies who could either help or hinder their mission to rescue the kidnapped person.
Maybe it's a group of villains working together. They could be from different factions but united by the idea that Izuku has the potential to become a huge threat to their plans. They might kidnap him to either eliminate him or turn him to their side. Also, it could be a lone, obsessed fan of a villain who wants to prove themselves by bringing Izuku to their idol.
A group of outcasts from different islands might kidnap Moana. They feel that they have been wronged by the 'normal' society that Moana represents. They hope that by kidnapping her, they can get the attention they deserve and force the islands to change their ways. But Moana listens to their grievances and tries to find a way to help them while also finding a way home.
It could be Zeref. Since Zeref has an interest in powerful magic users and Natsu is a strong dragon slayer, Zeref might kidnap Natsu to study his magic or use him in some dark plan related to his quest for immortality or power.
It could be a jealous rival from his own village. Maybe someone who is envious of Shikadai's natural talents and popularity, so they decide to kidnap him to get him out of the way.
It could be an envious rival. Maybe someone who's always been in the shadow of Osomatsu and his brothers and decides to take matters into their own hands by kidnapping Osomatsu. Another option is a deranged collector. This person might see Osomatsu as a rare item to add to their collection of oddities. Or it could be a vengeful spirit. In a more supernatural setting, a spirit with a grudge against the Matsuno family could kidnap Osomatsu as a form of revenge.
It could be a rogue werewolf. Maybe this werewolf has a grudge against Stiles' pack and thinks that by kidnapping Stiles, he can get some sort of revenge or leverage.
Well, it could be an envious maid from the palace. She sees Cinderella getting all the love and attention from the prince and decides to kidnap her. Maybe she thinks that if Cinderella is out of the picture, she can win the prince's heart. Or perhaps it's a dark wizard who has been observing Cinderella from afar. He wants to use her pure heart for some dark magic ritual, so he kidnaps her. There's also a chance that it could be a group of outlaws who heard about Cinderella's new wealth and status and think they can get a big ransom for her.
It could be Frieza. He might see Bulma as a valuable asset due to her intelligence and knowledge of Earth's technology. He could kidnap her to use her to build powerful weapons or devices to help him regain his power and dominance in the universe.
Perhaps a dark entity from another dimension. This entity might sense Yami's power and want to harness it for its own purposes, so it kidnaps him. There could be some sort of inter - dimensional struggle going on where Yami is a key piece.