The user can remove the souls from others, possibly resulting in apathy and psychopathy due to lack of emotions, especially empathy. Once removed, the souls may be vulnerable to damage, and restoration of the damaged soul may cause mental damage to the victim, such as madness.
Rukia Kuchiki (Bleach) uses the Soul Apprehension Gauntlet to remove Ichigo's soul.
A Soul Blaster Demon (Charmed) fires a Soul Blasting that can extract the souls of other beings.
Lacarde Dragneel (Fairy Tail) can remove the souls of his targets and send them to heaven which makes them feel great pleasure and joy.
Soul Dowser (Valkyrie Crusade) can detect lies, and if she discovers lies in a person's heart, she steals their soul.
Big Mom (One Piece) became a soul manipulator from eating the Soru Soru no Mi. As a result she has the power to extract soul energy from those she touches.
After committing a murder, Voldemort (Harry Potter) can remove part of his soul and seal it inside an object, thereby creating a Horcrux.
When in Djinn Hakuryuu (Magi the Labyrinth of Magic) can access Belial's true power to sever souls from the bodies of the living and seal them into another dimension...
for example Alibaba, who's soul Hakuryuu sealed away leaving Alibaba's body to die in the physical world.
Before Koyuki was born, Orb (Marchen Awakens Romance) extracted a fragment of the baby's soul and downloaded it into a magical stone. He then gave the stone to Diana who sealed it inside the queen of Lestarva, creating a child identical to Koyuki.