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.
Enerjak (Archie's Sonic the Hedgehog) removes the souls/Cores of other beings...
...for use in the creation of his Prelate army.
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.
Larcade Dragneel (Fairy Tail) can remove the souls of his targets and send them to heaven which makes them feel great pleasure and joy.
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.
Nagato (Naruto) used the Phantom Dragon Nine Seals to massacre an army of Hidden Rain Ninjas by removing their souls from their bodies...
...and with his Human Path of Pain, he can remove a target's soul just by touching them.
Daniel J. D'Arby, the Elder's (JoJo's Bizarre Adventure Part III Stardust Crusaders) Stand, Osiris has the ability to take the soul of anyone who loses against D'Arby be it in a bet or in a game.
Soul Dowser (Valkyrie Crusade) can detect lies, and if she discovers lies in a person's heart, she steals their soul.
Dark Bakura (Yu-Gi-Oh!) used the Millennium Ring to remove the souls of his victims and sealing them into figurines.
Pegasus J. Crawford (Yu-Gi-Oh!) used the Millennium Eye to remove the souls of those who lost a duel against him and sealed them into cards.
The Orichalcos Barrier (Yu-Gi-Oh!) removes the soul of the one(s) who lose a duel within its boundary and seals them away.
Younger Toguro (Yu Yu Hakusho) draining souls away from the deceased and alive to sustain his 100% form.
As a Prince of Heart, Dirk Strider (Homestuck) can rip souls out of one's body.