Genie (Disney's Aladdin), can grant 3 wishes to whoever has his magic lamp.
Eden (Aladdin: The Animated Series)
Chaos (Aladdin: the Animated Series) can grant his own wishes without limitations. Making this power at it's full potential a variation of reality warping.
Wish Bear (Care Bears)
Desire (Danny Phantom) is a wish granting ghost who must grant every wish she hears.
Bill Cipher (Gravity Falls)
When someone wields the Ladybug & Black Cat Miraculouses (Miraculous: Tales of Ladybug & Cat Noir) at the same time, they will be granted a single wish.
Experiment 267 "Wishy-Washy" (Lilo & Stitch)
Wyrm (Teenage Mutant Ninja Turtles 2012 TV series)
Bey Blade (The Secret Magical Gourd)
Fairies (The Fairly OddParents)
Starlings (Star Darlings)
The Sorcerer's Chaos Pearls (Randy Cunningham: 9th Grade Ninja) are capable of granting it's users wishes but it has limits as when ever the user wishes for something it's powers would drain everytime.
Long (Wish Dragon)
The Hogyoku (Bleach) can manifest the user's desires based on the strength of the user's Reishi.
Shenron (Dragon Ball) can grant one wish (later three) of anyone who gathers the seven Dragon Balls, under certain limitations.
Porunga (Dragon Ball Z) can grant three wishes of anyone who gathers the seven Namekian Dragon Balls, and have been powered up to exceed its former limitations.
Super Shenron (Dragon Ball Super) is the omnipotent dragon who comes from the Super Dragon Balls and can grant any wish at all no matter what it is.
Ultimate Shenron (Dragon Ball GT) can grant one wish of anyone who gathers the seven Black Star Dragon Balls, and is so powerful that it seems little to no limitations exists for it.
After a person fulfills Alluka Zoldyck’s (Hunter X Hunter) 3 requests, Nanika will grant one wish.
Kyubey (Puella Magi Madoka Magica) can grant wishes in the form of contracts which result in the wisher becoming a Mahou Shoujo. Unfortunately, these wishes usually backfire in ways that drive the wisher to despair.
Brew (Soul Eater) can manifest the user's desires based on the strength of the user's soul wavelength.
Spiritual Stone (Stitch!) grants wishes to those who do enough good deeds.
Jirachi (Pokémon) can grant any wish to anyone! Even if the wish is…
…A big pile of candy and snacks!
Crossroad demons (Supernatural) can grant the wishes of humans, but said wishes always result in the demon claiming said human's soul.
Vengeance demons (Buffy the Vampire Slayer) grant vengeance-related wishes of anyone who says them, though said wishes often result in the victim's gruesome death or even the creation of alternate realities.
Neil, and later his dog Dennis (Absolutely Anything), temporarily gained the "galactic power", allowing them to fulfill any wish they speak, although the power is quite pedant wording-wise.
Krampus grants Max's wish "to make things go back to the way things were" in the end of the film.
Wish Star (Power Rangers Dino Charge)
Mephistopheles (Valkyrie Crusade) is a demon lord with very powerful and unique alchemy and magic and posses the power to grant any wish.
Genie (Valkyrie Crusade)
The Dream Stone (Mario & Luigi: Dream Team)
The Dark Stone (Mario & Luigi: Dream Team)
The 1000 Origami Cranes (Paper Mario: The Origami King)
Calypso (Twisted Metal) has the power to grant the wish of those that win in the Twisted Metal tournament, usually in a dark "ironic punishment" sort of way.
Riven, the Thousand Voices (Destiny) like other Ahamkaras are giant wish granting dragons that can grant andy wish but at a heavy price.