It could also be out of love and a sense of family. Sirius sees Harry as the only family he has left. He might fear that Harry is growing up too fast in the wizarding world, surrounded by danger and politics. By kidnapping him, he hopes to give Harry a normal childhood away from all the chaos, even if it's in an unorthodox way.
It could also be a case of miscommunication. Sirius might think that Regulus has some crucial information that could help in the fight against Voldemort. So, in his haste and desperation, he kidnaps Regulus to extract that information, not realizing that there are other ways to go about it.
Maybe Dumbledore believes that Harry has some hidden power that is being corrupted by the environment at Hogwarts. So, he kidnaps Harry to a secluded place to train him and help him control this power without any distractions or negative influences from other students or even some of the teachers.
One possible motive could be revenge. Maybe Draco feels that Ginny or the Weasleys have wronged him or his family in some way. For example, if he blames Ginny for getting Harry Potter on their side all the time which has made things difficult for the Malfoys at Hogwarts. Another motive could be related to power. He might think that by kidnapping Ginny, he can gain some sort of leverage over the Order of the Phoenix or Dumbledore's side. It could also be out of jealousy. If he has some unspoken feelings for Ginny but she's always with Harry, he might kidnap her in a fit of jealous rage.
One possible motive could be that Bakura wants to use Anzu as a bargaining chip. Maybe he's trying to get something from the main characters, like a powerful item or information. Another motive might be related to some sort of revenge. He could think that Anzu is close to someone he has a grudge against, so by kidnapping her, he can cause pain to that person.
One possible motive could be to use Naruto as a bargaining chip. Itachi was a complex character with his own goals related to the safety of the Hidden Leaf Village in some ways. He might have thought that by kidnapping Naruto, he could influence the village's decisions. For example, he could try to stop certain actions the village was planning that he believed would lead to more harm. Another motive could be related to the Nine - Tails within Naruto. Itachi might have wanted to study or control the power of the Nine - Tails for his own purposes, perhaps thinking it could be a way to protect Sasuke in a different manner.
Maybe Rowle is under the orders of a more powerful dark wizard. In the world of Harry Potter, there are always those higher - ups in the dark side who might want Hermione for her knowledge of magic, especially things like ancient spells and magic theory. So Rowle could be tasked with kidnapping her for that purpose.
One possible motive could be to use Sakura as bait. Maybe Sasuke is trying to lure Naruto to a certain location. He knows Naruto cares deeply about Sakura, so he figures Naruto will come after her.
One possible motive could be to protect Sasuke. Itachi might have seen a great danger approaching Sasuke that he could only avoid by taking him away forcefully. Maybe there was a powerful enemy targeting Sasuke, and Itachi thought that by kidnapping him, he could keep him safe in a hidden location and train him to become stronger.
One possible motive could be that Bucky is being controlled against his will. In the Marvel universe, he has been brainwashed before. Maybe the people who once controlled him have regained their hold and made him target Steve for some strategic reason, like using Steve as a hostage to gain power or information.
It could also be a personal vendetta. Maybe she had some sort of conflict with someone in the past, and that person decided to kidnap her as revenge. For example, if she had testified against someone in a court case, the person might want to get back at her.