In The Gamer's Alliance, Amarawyn and Marya both get in trouble a few times, prompting heroes to save them from kidnappers.
Whateley Universe: Jinn Sinclair in "Bottle a Jinn", when she is "absorbed" by Rich Bitch Solange (Jinn is a protagonist, but is non-corporeal, and Solange has the power of being able to absorb spirits and steal their powers). Lampshaded when Team Kimba try to rescue her and end up in a huge brawl that gets them into serious trouble with the school administration. They realize afterward that Jinn isn't helpless, is manipulating Solange against her will, and needed a much smarter plan from her team. Ultimately, Jinn cons Solange into letting her go just seconds before Solange will most need her powers.
The frequent abductions of Princesses Peach and Zelda are playfully deconstructed in thisCollegeHumor video.
Zelda: Ganondorf has an entire army of loyal minions, and they do whatever I say! Link just has that stupid fairy...
In The Nostalgia Chick's Dark Nella Saga, the titular Big Bad tied the Makeover Fairy up the bathtub and tortured her by scraping her make-up off. She looked exactly the same afterwards.
Miss Stockholm in Pop Quiz Hotshot, who is kept in the basement with a low cut dress and handcuffs. Notably she existed just for the pilot and got retconned out in episodes after, even Tamara (her actress) didn't enjoy being her.
Played for Laughs in Episode 87 of Critical Role, when Keyleth notes that she technically counts as one in order to get Taryon to help her during a fight with some pirates.
Keyleth: In this moment, I am a damsel and I am in distress. So cross it off, bitch! Come on!