The user can banish an object or being from a specific place to either a certain place/area they choose or into the area the target is most connected, in case of summoned beings their home plane of existence.
Last Dragonborn (The Elder Scrolls V: Skyrim); via various spells and enchantments
Various users (Final Fantasy series); via Banish
Seymore Guado (Final Fantasy X); can banish summoned creatures of his opponents
Yuna (Final Fantasy X); all summoners can "send" pyreflies to the afterlife
Infinite (Sonic the Hedgehog)
Shadow the Hedgehog (Sonic the Hedgehog)
Bookend (Valkyrie Crusade)
A.G.O.T.I. ("Friday Night Funkin"); He does this with his microphone after the player beats him in the second song
Malachite (Channel Awesome/Suburban Knights)
The Gatecleaner (The Spoony Experiment)
Ban Hammer (Roblox)
Banishing Stone (The Life & Times of Juniper Lee)
Book of Demons (Valkyrie Crusade)
/Ban Command (Minecraft)
Al Shamak (Re:Zero)
Angel Sigil (Supernatural)
Adam and Eve banished by God (Abrahamic Religions) from the Garden of Eden after the first sin.
Lucifer (Christianity) is cast out of Heaven along with his angels after rebelling against God.
When Kitty (Danny Phantom) blows her Banishing Kiss at any male human or ghost that it hits disappears to parts unknown. If they stay that way for more than 12 hours, the ones who have vanished are gone forever.
Khalid (DC Comics) while using the powers of Dr. Fate, can banish beings to other dimensions by invoking the Egyptian God of War, Horus.
Oryx (Destiny) can use "Banish to Darkness Dimension" to send Guardians to an isolated place to trap them in.
Holy Angemon (Digimon) opening the Heaven's Gate to consign his opponents into oblivion of subspace, never to return.
The Eight Immortals (Jackie Chan Adventures) each respectively pictured with the demon sorcerer they banished.
Inuyasha (Inuyasha) uses Meido Tessaiga to banish anything it cuts to the netherworld.
The Meido Zangetsuha (InuYasha) banishes the victims into hell.
When her sister Princess Luna became Nightmare Moon, Princess Celestia (My Little Pony Series) was forced to use the "Elements of Harmony" to banish her in the moon for 1000 years.
Starlight Glimmer (My Little Pony Series) was able to banish Discord's body from school grounds.
As a result of Metatron's (Supernatural) betrayal and his spell, all angels were cast out of Heaven.
Dean Winchester (Supernatural) using Blood Magic to banish Zechariah.
Bookend (Valkyrie Crusade) uses the power of demons sealed in a book to banish demonkind.