It is named in Japan after the fabled figure Jack-O'-Lantern. According to the earliest accounts of the tale, "Stingy Jack" was an Irish farmer who persuaded the Devil not to take him to hell. When he was refused entry into heaven, he wandered the earth as a turnip-headed (or pumpkin-headed) soul who would come to be called "Jack of the Lantern" - or so says the legend. Jack-o'-lanterns are carved by children and enthusiasts alike on Halloween, though the tradition of carving gourds dates back probably to the dawn of mankind, and is not endemic to any particular culture. The tradition can also be thought to help guide the lost soul himself.
The legend, however, goes back further than the term itself. Jack-o'-lantern or some variation thereof was at the height of usage in 17th century Europe. Simply put, it meant "the guy with the lantern." Later the term would almost exclusively be used as slang in reference to the will-o'-the-wisp phenomenon, or ignis fatuus - due to the appearance of a far off person carrying a lantern.
Pyro Jack is second of the three Jack brothers. He is one of the most common demons in the series, appearing in nearly every game. He still retained the more traditional "Jack O'Lantern" name in the earlier English localizations. Since Shin Megami Tensei III: Nocturne and subsequent localizations, "Pyro Jack" has occupied the English naming with no official explanation from Atlus. The name change, however, makes him more comparable with his in-game brother, Jack Frost, in terms of their signature elements of fire and ice. The name "Jack-o'-Lantern" has been eventually restored in Persona 5.
Kyūyaku Megami Tensei
In Megami Tensei II, after finding Jack Frost Jr. and telling him that you know where his mother is, you can talk to a Jack O' Lantern in an encounter. He will tell the protagonist that he needs to mind his own business, and that he will make sure that little Jack Frost gets lost again, allowing the player to meet him again.
Shin Megami Tensei
"Origin: England. A fairy resembling a jack-o'-lantern. It is a prank-loving fairy that's also called a Will-o'-the-Wisp. It was originally a human named Jack. But because of his constant pranks on demons, his soul was cursed to roam."
—Shin Megami Tensei A-Mode DDS Dictionary
Shin Megami Tensei IMAGINE
"Imps of fire that appear in English legends. Jack-o'-Lantern is a soul who lived a decadent life and was refused entry into the afterlife. Taking pity on him, a demon placed a small bit of hellfire in a lantern made from a turnip to provide light for him as he wanders through the darkness. In the world of the living, he sometimes serves as a guide for travelers. Jack-o'-Lantern is good friends with Jack Frost. Some Demon Busters claim to have seen them team up as Demon Buster-busting duo Lantern Frost. Today, Jack-o'-Lantern is known as the pumpkin ghost of Halloween. It is believed that this change from turnip to pumpkin came about when the custom of Halloween first came to the United States, because Americans found that pumpkins were brighter and easier to carve than turnips."
—Shin Megami Tensei IMAGINE compendium
Pyro Jack appears in Nakano field during the in-game night hours and a larger field boss variant spawns close to the New Moon moonphase. He frequently acts as the quest-giving NPC for Halloween and autumn-themed events. In particular, he was a supporting boss in the All in the Hopeless Afternoon Halloween event as Netherworld-Guiding Flame Pyro Jack that fought alongside Wandering Innocent Soul Alice.
He occasionally makes appearances supporting Jack Frost in Christmas-themed events enough to have his own special Christmas-themed variation. Like Jack Frost, he is one of the common bazaar-tending demons and many pieces of player gear are themed after his design. When equipping a weapon infused with his crystal, players can also gain the ability to use the Magic Shot skill.
Shin Megami Tensei: Strange Journey
"An Irish spirit, seen as flames in the swamp. Also known as the Jack-o'-Lantern. He is known around the world by names such as Will o'the Wisp and Hitodama. He appears at night to startle travelers and make them lose their way."
—Shin Megami Tensei: Strange Journey compendium
Shin Megami Tensei IV
Pyro Jack can be found in Shinjuku. He can teach Flynn the Agilao skill through his Demon Whisper. Pyro Jack is needed in order to summon Black Frost through special fusion.
Pyro Jack is featured in the "Training Battle 2" Challenge Quest. Pyro Jack, Jack Frost and Jack the Ripper have gathered to cover each others' weaknesses and must be defeated in one turn. Flynn can accompolish this by using Lunge on Jack the Ripper, skipping to Naga to use Bufula on Pyro Jack and then skipping to Kaso to use Maragi on Jack Frost.
Pyro Jack appears again in "Training Battle 6," where Flynn and his party must use damage reflected by his demons' innate resistances to defeat the enemies while switching summoned demons according to what is needed. The enemy demons are the Jack Brothers +, a party of Pyro Jack, Jack Frost, Jack the Ripper and Hairy Jack. During the first enemy turn, Jack the Ripper will use a physical attack targeting Flynn's party. On the second enemy turn, Jack Frost will attempt a Mabufula. For the third turn, Pyro Jack will use Maragion. On the next turn, Kanbari will need to use Tetrakarn to ward off Hairy's Jack's attack. Attacking Hairy Jack at any point may result in him using Retaliate, which will defeat one of Flynn's demons prematurely.
Shin Megami Tensei IV Apocalypse
Pyro Jack can be found in Kasumigaseki. He can teach the Agilao and Maragi skills through his Demon Whisper. Pyro Jack excels at using Fire skills.
A Pyro Jack Costume can be purchased in Shibuya after defeating Shesha and people return to the underground, reopening the shops.
Devil Summoner: Soul Hackers
"An Irish spirit, seen as a floating flame in the swamp. Also known as the Jack O'Lantern. He is known around the world by names such as Will-o'-the-Wisp and Hitodama, and is said to be the wandering spirits of the dead. He comes at night to startle travelers and make them lose their way."
—Devil Summoner: Soul Hackers 3DS compendium
If Pyro Jack's loyalty is maxed out, he can be converted via Mystic Change into a set of Pumpkin Bombs, powerfully explosive shotgun shells.
Devil Summoner: Raidou Kuzunoha vs. The Soulless Army
"An Irish spirit, seen as flames in the swamp. Also known as Jack-o'-Lantern. Said to be the spirit of a man cursed to wander the earth with a lantern to see in the dark."
—Devil Summoner Devil Chart
Megami Ibunroku Persona
Pyro Jack as a Persona is the third Persona of the Lovers Arcana and as it ranks up its stat gains are relatively balanced. Upon being returned to the Velvet Room at MAX Rank, it will yield the Iron Pumpkin equipment.
Pyro Jack, as a demon, begins appearing on the upper floors of the SEBEC Building in the company of a Jack Frost.
Persona 2: Innocent Sin
Excluding unique Personas, Pyro Jack is the fourth Persona of the Lovers Arcana. When the party encounters the demon Pyro Jack with him equipped as a Persona, they will sometimes initiate a conversation with each other which results in the demon Pyro Jack offering Lovers Tarot Cards to ask the player to turn him into a Persona too.
Persona 3
"Also known as Jack O`Lantern, he was an Irish farmer who persuaded Satan not to take him to hell. When he was refused entry into heaven, he wandered earth as a pumpkin-headed soul."
Akihiko Sanada can also obtain Pyro Jack gloves called "Jack's Gloves" which also features Jack Frost.
Persona 4 The Animation
Pyro Jack, in Persona 4 The Animation, represents the bond between Yu and Yosuke. He was the first Persona that Yu summoned due to his newly obtained Wild Card ability. Early on, his abilities have assisted Yu in taking down both Shadow Chie and Shadow Yukiko with his Fire-based spells and Absorb Fire ability, and was used briefly during the Shadow Mitsuo battle.
Persona 4 Arena
While not making an in-game appearance, one of Kintoki-Douji's alternative palettes resembles Pyro Jack.
Persona 5
"A drunkard who tricked the Devil out of taking him to Hell. When refused entry to Heaven, he was forced to wander the earth with only an ember as a light."
—Persona 5 background
Jack-o'-Lantern appears in Kamoshida's Palace during the second scripted battle of the game and onward. It is referred to as a "Crypt-dwelling Pyromaniac" while in Shadow form.
Jack Bros.
Pyro Jack is one of the three initial playable characters in this spin-off title named after him and his brothers, Jack Frost and Jack Ripper, where he must return to the fairy world before midnight on Halloween. Unlike Frost and Ripper, he does not have an area he excels in, but is well-rounded stat-wise. In his character-specific ending, he realizes the Pixie that accompanied him through the labyrinth may be his world's princess.
DemiKids Light & Dark
"Flame-demon with a pumpkin head. Lures enemies into a bottomless swamp."
Known as Punkin, he can perform the combo Fire Flare with Sizzard and Redwing. Punkin also has the power Cliffhanger.
Digital Devil Saga: Avatar Tuner
Pyro Jack appears in Digital Devil Saga: Avatar Tuner as one of the "Hip Hop Brothers," who were members of the Solids. They attack Embryon at Coordinate 136 on the second floor. The other brother was Jack Frost. Pyro Jack shouts "Listen to me!" before casting his spells, possibly an allusion to the legend's persuasion of the devil.
Later in the game, the remaining HipHop Brother can be found guarding a large blue treasure chest in the entryway of Coordinate 136. After first denying the party access to the chest, he does enlist their help in retrieving the key to open it. After defeating Titania on the 3F - Transit floor, returning to Pyro Jack with the key will cause him to pop open the chest and run off with its contents in order to curry favor with King Frost. After defeating King Frost in the top room of the tower, Pyro Jack can be found cowering out on the balcony. Promising to follow Serph and begging for forgiveness.
Digital Devil Saga: Avatar Tuner 2
Pyro Jack appears in the Underground City later in the game and will sell Impel Stones he produces from his head for $50,000 apiece. These stones have the same effect as Psycho Rage and will grant 4 flashing press turns when used. Pyro Jack will not have another stone to sell until the one currently in the party's inventory is used.
During the last stages of the game, Pyro Jack's Solar Data can be found in the 2nd Layer of the Sun and will resume selling Impel Stones there.