When a property leaves room for continued adventures or ends on an outright Sequel Hook, but is continued in a different medium.

This is most likely due to the original property not doing well financially, but has enough interest to merit continuation in a cheaper medium. Alternatively, they were Screwed by the Network of the original medium and they have to continue it in another. In case of movie continuation from other media, it may also mark a special part of the whole story.

See also The Resolution Will Not Be Televised and its inverse Recycled: The Series. Related to Expanded Universe when the other media-sequels are treated as a lesser canon. Compare Anime First and Comic-Book Adaptation, as well as Continuation, Fan Sequel and Next-Gen Fic for Fan Fic examples. If the continuation is in the same medium that the predecessor was itelf adapted from, see Recursive Adaptation.

Note that cases of prequels and interquels also count here; the point is, the works are all part of the same timeline.

Examples by the original medium

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Anime and Manga

Magical Girl Lyrical Nanoha Vivid is the manga continuation (the 4th season to be specific) of the anime Magical Girl Lyrical Nanoha Strikers.
Even though the .hack franchise started with .hack//SIGN, the entire storyline is told between numerous mediums. Chronologically, the story goes from novels (.hack//AI Buster), to anime (.hack//SIGN), to video games (.hack//Infection, Mutation, Outbreak, and Quarantine), to anime that takes place during the games (.hack//Liminality), to novels (.hack//ZERO), to manga (.hack//Legend of the Twilight), to anime (.hack//Roots) that serves as both the prequel and epilogue to the corresponding video games (Dot Hack GU), that features a novel (.hack//CELL) as a side story between the two, to manga (.hack//LINK), to anime (.hack//Quantum).
- This isn't even counting non-canon retellings such as the .hack//XXXX and .hack//GU manga. Yeah.. Its that kind of series. There are more games in the works too.
The Sky Crawlers had a prequel in the form of a video game called The Sky Crawlers: Innocent Aces.
Naruto ended its run after 700 chapters. In addition to the Spin-Offspring, there's a movie taking place during the Time Skip before the Distant Finale, which wraps up the Romance Arc between Naruto and Hinata Hyuga.
The Next Generation -Patlabor- is the live-action sequel to the original Patlabor OVA continuity, and is set 15 years after its conclusion. Which also makes it the Distant Finale, as most of the original cast have retired from the SVU by then.
The classic animated film Blood: The Last Vampire got manga sequel, and said manga sequel got a video game sequel.
Yuki Yuna is a Hero is a multimedia series. The anime was the first creation however was released concurrently with a light novel prequel, which was later given an animated adaptation. The series also has light novel sequels.
The theatrical Dragon Ball movies Dragon Ball Z: Battle of Gods and Dragon Ball Z: Resurrection ‘F’ are interquels occuring in the Time Skip between Majin Buu's defeat and the manga's ending. They were later adapted into an anime/manga format in Dragon Ball Super, which itself got a movie sequel set after that series' ending.

Films — Animated

The Nightmare Before Christmas: Oogie's Revenge, a PS2 and Xbox sequel to The Nightmare Before Christmas. It was based on a script for a film sequel that was cancelled after Tim Burton convinced Disney not to do it. They chose not to throw it away entirely and made it into a video game instead.
The first four levels of the Over the Hedge console game are directly taken from the climax of the movie. The rest of the game is a straight sequel where the animals raid houses and battle Dwayne the Verminator.
The console Meet the Robinsons game is a prequel, while the Game Boy Advance game is a sequel.
The Incredibles has a videogame sequel titled The Incredibles: Rise of the Underminer featuring the villain who appeared at the end of the film. The official Incredibles 2 wasn't announced until 13 years later.

Films — Live-Action

Men in Black: Retribution, the comic sequel to the Men in Black film.
The Countdown to Darkness prequel comic for Star Trek: Into Darkness.
Star Wars franchise:
- The Shadows of the Empire multimedia project basically had this as its goal, making all of the merchandising tie-ins - centered around a novel, but also with a game, a comic, trading cards, and action figures - for a movie set between The Empire Strikes Back and Return of the Jedi, but without making the actual movie.
- The later The Force Unleashed project did the same thing, with a story set between Revenge of the Sith and A New Hope, the only primary difference being that the game was the centerpiece of this project.
From the movie Pitch Black, we have:
- Escape from Butcher Bay, video game prequel.
- Assault on Dark Athena, the second video game prequel.
- Dark Fury, animated movie set just after the first movie.
- The Chronicles of Riddick, live-action movie set five years after Pitch Black.
2001: A Space Odyssey had a Marvel Comics adaptation followed by a continuation.
TRON 2.0, a game sequel to TRON, which fell into Canon Discontinuity after TRON: Legacy was announced. 2.0 also had a comic book sequel called Tron: Ghost in the Machine and a prequel in its GBA port, TRON 2.0: Killer App.
- TRON: Legacy has its own Expanded Universe in the form of interquels Tron: Betrayal, the Flynn Lives! Alternate Reality Game, TRON: Evolution, and TRON: Uprising.
Hulk is a game sequel to Hulk.
Return to Labyrinth, an "Amerimanga" sequel to Labyrinth. Archaia Comics also printed a prequel comic about the origins of the Goblin King Jareth. Both are officially licensed.
Ghostbusters: The Video Game is basically the third Ghostbusters movie, while the IDW comic continues the story from where the video game left off.
Pacific Rim has the prequel "Tales from Year Zero", and it's supposed to be getting a comic book series and an animated series.
All the expansions of The Matrix - the video games, comics, The Animatrix - were intended by the creators to be canon to the films. This includes Enter the Matrix, which was created concurrently with The Matrix Reloaded and weaves in and out of its storyline, and The Matrix Online, which picks up where the movie trilogy left off.
The Back to the Future trilogy got follow-ups in Back to the Future: The Animated Series and a set of video games.
John Carpenter's movie The Thing was followed by a videogame sequel 20 years later named simply The Thing, in which a rescue team investigates what happened at outpost #31 and encounters a Thing plague.
The animated film Starship Troopers: Invasion is a Broad Strokes sequel to the live-action movies that incorporates a fair bit from the novel and the animated series as well.
Super Mario Bros. notoriously ended in a sequel hook, but no sequel came after the film went on to be a critical and financial failure. The sequel eventually came in the form of a webcomic with creative imput from one of the movie's writers.
S.M. Stirling's T2 Trilogy of novels continues the story of Terminator 2: Judgment Day (Before Terminator 3 or the TV series were released).
E.T. the Extra-Terrestrial had a sequel novel, E.T.: The Book of the Green Planet, giving the story of what happened when E.T. went home. It was written by William Kotzwinkle, who had written the novelization of the movie, and was presented as if it were the novelization of a non-existent sequel film, even being released in both a full novel and an abridged "storybook" with extra illustrations.
The fantasy film Willow had a sequel in the appropriate form of a trilogy of fantasy novels. They were credited as a collaboration between George Lucas and Chris Claremont, and pick up the story when Elora Danaan is an adult.
The Fly II (which was itself a sequel to David Cronenberg's version of The Fly) received a comicbook continuation in The Fly: Outbreak courtesy of IDW Publishing. Martin's continued experiments lead to more people getting infected. Body Horror ensues.
The Goonies II for the NES is a Video Game sequel to The Goonies.
The Amazing Spider-Man got this in the form of a video game that continued the film's events despite being released around the same time. The Amazing Spider Man 2 rendered it Canon Discontinuity, though its own video game adaptation alters the story to continue from the first game's events and basically make it an Alternate Continuity.

Zilpha Keatley Snyder's Green-Sky Trilogy was followed up with Below the Root, a video game conclusion to the series.
The same company also consulted with Ray Bradbury to make an authorized text adventure sequel to Fahrenheit 451
The first book and two chapters from the second book about Madicken were first adapted into a TV series in six parts. The rest of the second book was adapted into a movie. And to make things complicated, material from the first TV series was used to make a second TV series and material from the first TV series was used to make a second movie.
Chuck Palahniuk's Fight Club eventually got a sequel, Fight Club 2, published as a monthly comic book series later collected in trade paperback. A threequel, Fight Club 3, was also released in this format.

Live-Action TV

Firefly had some of its remaining plot threads resolved in the film Serenity after the show's cancellation. It was then continued further in a series of comics, including both prequels and sequels to the other two installments.
Buffy the Vampire Slayer received a direct continuation in comic book form.
The various Big Finish Doctor Who Audio Adaptations and Doctor Who – Expanded Universe books spun off from Doctor Who between 1989-2005 when (other than the Backdoor Pilot Made-for-TV Movie, simply called Doctor Who) there was no new Who airing.
The X-Files started off a TV series with a couple of live-action movies but is continued as a comic book.
Star Trek: The Original Series
- Many Star Trek comics by Gold Key Comics and DC Comics which were published between the end of the original series and Star Trek: The Motion Picture.
- Star Trek: The Animated Series was a short lived continuation of the original series, created by Filmation.
- Star Trek: The Motion Picture started a series of movies based on the original series.
Four years after Charmed ended, Zenescope Entertainment started publishing a monthly comicbook series set eighteen months after the events of the final episode.
After Stargate Atlantis was cancelled rather suddenly a continuation novel series was started. It's even considered canon.
After NBC cancelled Community, it was later picked up as a web series to air on Yahoo Screen.
Twin Peaks was originally supposed to be continued as a series of graphic novels, but David Lynch wasn't interested in continuing the series in any form at the time. Further details can be read here.
An eleventh season of Smallville was released in comic book form.
TV series The Prisoner (1967) had a comic book sequel called Shattered Visage, which was controversial among fans due to its simultaneous attempts to do a Mind Screwdriver and a Happy Ending Override on the TV show's final episode.
Multiple stories of the Expanded Universe books of Space: 1999 continued the story of the series between the last televised episode and the Distant Finale / "Where Are They Now?" Epilogue featurette "Message From Moonbase Alpha".
IDW Comics has published "Season 3" and "Season 4" of Jericho, a continuation comic book for The X-Files and is about to launch a continuation comic book for Millennium
Penny Dreadful has a comic book series produced by Titan Comics that continues after the events of the third season.

Radio

The Hitch Hikers Guide To The Galaxy: the first two books corresponded roughly to the original radio series, then the books continued the story - but differences in plot details meant that some cliffhangers from the radio series never got addressed. The much-later radio adaptation of the third to fifth books addressed this by pulling an All Just a Dream on the Bittersweet Ending of the radio series. The radio adaptation of Mostly Harmless then added its own Lighter and Softer ending after the Downer Ending of the book.

Video Games

Final Fantasy:
- Final Fantasy VII received a direct sequel in the form of an animated film, Final Fantasy VII: Advent Children, not to mention the various sequels and prequels, one of which was an anime short titled Before Crisis.
- Before that Final Fantasy V had the OVA sequel Final Fantasy: Legend of the Crystals.
Crysis 2 is the sequel but set at an altogether different time and place with a (mostly) new cast of characters. The events of Crysis and Crysis: Warhead were more directly continued in a six-issue comic book series endorsed by EA and published by IDW intending to fill the gap.
The Titan Comics-published Assassin's Creed Origins four-part comic mini-series details the fall of Cleopatra 14 years after the game.
The 1998 shooter SiN was originally followed by a 2000 anime movie in which Blade's partner died and was replaced by his sister, though this movie was later rendered non-canon when a sequel game came out in 2006.
First Encounter Assault Recon had two prequels in other mediums. The "Alma Interviews" was a live-action short movie depicting an interview with a young Alma before she really started on the spooky business from the game, while the "Director's Edition" of the game also came with a Dark Horse-drawn adaptation of the beginning of Fettel's rampage from the game's opening cinematic.
The Hope's Peak Saga of Danganronpa (most of which consisted of visual novels and video games) had two: one was Danganronpa Zero, set before the first and second games and the only novel in the saga to be directly related to the plot, and Danganronpa 3, which served as the conclusion chapter. The third cardinal game tells a completely separate story.
Life Is Strange has a comic continuation taking place after one of the two possible endings, in particular the one where Max saves Chloe and let the storm destroy Arcadia Bay.
Injustice: Gods Among Us has a prequel set 5 years before Superman's regime, in comic book form.
- Injustice 2 also has a prequel comic.

Western Animation

Samurai Jack got a comic series to continue its storyline before it was Un-Canceled.
ReBoot was cancelled (for good) after a Season 4 cliffhanger, but the story continued years later in an official webcomic format hosted by Rainmaker Entertainment.
Avatar: The Last Airbender has a number of comics that continue Aang and company's story after the events of the series, but before The Legend of Korra.
- Likewise, The Legend of Korra also has a comic continuation of the story following its finale.
Boom Studio's Darkwing Duck is a continuation of the Darkwing Duck animated series.
Gargoyles was continued as a comic that picked up after the end of the second season, as the fans as well as the creators like to pretend the third season never existed.
The Critic was continued as online webisodes several years after it was cancelled by FOX.
In terms of Sequel Episodes, "The Simpsons Spin-Off Showcase" from The Simpsons had a sequel in the comic series, dubbed the "Quickly Cancelled Comic Book Cavalcade". The stories are continuations of the three spinoffs proposed in the original episode, and true to form, they are as hokey as ever. In the "Wiggum, P.I." story, Wiggum becomes undead and Skinner suspects Big Daddy is behind it. Meanwhile, the eponymous "Lovematic Grandpa" finds his soul switched with that of Moe's Girl of the Week. Finally, "The Simpson Family Smile-Time Variety Hour" is forced to hold their salute to Rock & Roll on an island due to Homer crashing their plane on the way to their gig in Hollywood.
Many of the stories in the Teen Titans Go! comic take place after the Teen Titans cartoon but before the made-for-TV movie Teen Titans: Trouble in Tokyo.
The Fairly OddParents! got three live-action movies set after the main series in the form of A Fairly Odd Movie: Grow Up, Timmy Turner!, A Fairly Odd Christmas, and A Fairly Odd Summer. Their canonicity, however, is debated, especially since they make the ending to Channel Chasers Canon Discontinuity.
Prior to the show being Un-Cancelled, Star Wars: The Clone Wars had some of its unmade story arcs adapted into other mediums; the comic book miniseries Darth Maul: Son of Dathomir and the novel Dark Disciple were made in a time when it seemed all but certain the show was dead.