The Mega Man X games features several references to the Shoryuken.
Mega Man X2 features a secret power-up capsule from which X can obtain the Shoryuken. This is similar to the first game, Mega Man X, in which X can obtain the Hadoken.
Mega Man X4 features a boss, Magma Dragoon, who possesses variations of Ryu and Ken's special techniques, including Shoryuken. Due to his elemental nature, he appears to possess Ken's variation.
In both of the Mega Man X Gameboy Color games Mega Man Xtreme and Mega Man Xtreme 2, X can receive both the Hadoken and Shoryuken from a hidden Dr. Light Capsule in either game. To use them X needs to have his X-Buster fully charged, and holding up when firing it allows the Shoryuken to be used (whereas holding down would activate the Hadoken). Unlike their SNES counterparts, they can no longer kill bosses in one hit, though X does not need to be at full health in order to use either move.
In Mega Man X8, Zero can do a freezing version of the Shoryuken, which is a variation of the Hyouryuushou technique he receives from the boss Avalanche Yeti when the K-Knuckle is equipped. While equipped with the Ultimate Armor, X can use a normal Shoryuken. Both will call out the attack when performed.
In Monster Hunter Generations, with the Sword and Shield weapon, a player can use a Hunter Art called "Shoryugeki", or "Rising Dragon Attack". When activated, the hunter starts with a forward slice attack and thrusts their shield upward while jumping. The description acknowledges the original move by saying in the description that it is indeed, "a popular fighting move". By doing certain quests in the game, the player may also unlock the Tier II and Tier III versions, which add more hits compared to Tier I. In the game, if hit properly, this will stun monsters.
In Remember Me, the protagonist Nilin can use Shoryuken as one of her Chain attacks.
In Dead Rising 3, Nick can use Shoryuken with his "Dragon Punch" combo weapon. He even shouts "Shoryuken!" while performing the move.
In Devil May Cry 3 and Devil May Cry 4, Dante possesses both the Shin Shoryuken and Shinryuken (listed as Real Impact & Rising Dragon, respectively). Ironically, Rising Dragon would be called Shoryu in Japanese. A normal Shoryuken is used if Rising Dragon isn't charged enough.
In the Special Edition of DMC4, Vergil has his own version of the Rising Dragon based on the Shoryureppa, rather than Shinryuken.
Fellow Tekken character Josie Rizal uses a Shoryuken-like move similar to both Ryu and Ken's Shoryuken as part of her Rage Art move. This also happens in her updated Rage Art in the updated game, Tekken 7: Fated Retribution.
Kazumi Mishima, Heihachi's ex-wife, has a regular Shoryuken-like move during one of her special attacks and as part of her Rage Art move.
In the Battle Arena Toshinden series, Eiji Shinjo and Kayin Amoh have Shoryuken-like moves named as "Hishouzan" and "Deadly Raise" respectively. Eiji's older brother, Sho Shinjo, also have this ability but it does slight damage. In Battle Arena Toshinden 3, Leon and Ten Count also copied both Eiji and Kayin's Shoryuken-styled moves while Abel and Veil also utilize this ability (though it has more resemblance to Evil Ryu's Messatsu Go-Shoryu) as a special attack.
In Toshinden Subaru, Subaru Shinjo and Naru Amoh also gain both Eiji and Kayin's moves. Eiji also has a Shin Shoryuken-like attack named "Shishouzan".
In Potato Talesrunner, a chick impersonating Ryu (headband) and Ken (Flaming Shoryuken and Flaming Tatsumaki Senpukyaku) appears in the Wonderland Map.
In Double Dragon Neo Geo arcade version, The Lee brothers Billy and Jimmy possess a reverse version of Shoryuken dubbed as "Rekhuha". Both of their super finishing moves are the reverse version of Ken's Shoryu-reppa for heavy damage. In their transformed state however closely resembles Ken's Shoryuken dubbed as "Ryuken Kun" and the flames are blue in a electric fashion.
Double Dragon character Rebecca also possess a Shoryuken-somersault like move dubbed as "Hicchou Zan" in the game. The move is a reverse version of Ken's Shoryuken.
In Legend of Legaia, the main hero, Vahn, learns a hyper art named "Tornado Flame". It has a striking resemblance to Ken's Shoryuken, even with the flames.
In Konami's Suikoden II the character Zamza has Ken's Shinryuken-like move while activating his Fire Dragon rune. Although, his rune does damage to himself after usage. Two other Suikoden II characters, Shin and Oulan, have Shoryuken-like moves; the former's attack is part of his Spider Slay rune while the latter has a Shin Shoryuken-like move as part of her Angry Dragon rune.
In Little Fighter 2 (a Chinese PC game), Shoryuken is one of Davis' special moves.
Additionally, the final boss of the game, Julien, is capable of performing a Shoryuken, but his version is weak and followed up by a kick.
In the Smash Bros. series, Nintendo mascots Mario and Luigi have their own "Shoryuken" known as the Super Jump Punch, based on their jumping poses in the Mario series. This may be a nod to their roles as the "Ryu" and "Ken" (gameplay-wise) of the series.
Mario's has multi-hitting properties much resembling Ken's, while Luigi's only hits once, but has a fiery effect that occurs when Luigi uses it very close to an opponent during the start of the move (which will badly damage the foe, launch them, and set them on fire).
Both versions of the move (except for Luigi's "sweet spot" Super Jump Punch) also release coins with each hit. However, this is merely a visual effect.
In Soulcalibur III, when the player create a character under the moveset "Thief", the character will take out a bomb and perform a jumping uppercut similar to the Shoryuken. With "Soul Charge" activated, the character will perform one with a fire effect similar to Ken's] EX Shoryuken.
In Far East of Eden: Kabuki Klash the sub-boss Manto Ace have two special moves, one resembling Shoryuken and another resembling the Tatsumaki.
In Kid Icarus: Uprising, Hades is about to kill Pit, when suddenly Medusa steps in and attacks Hades. He then destroys her with a punching motion similar to the Shoryuken.
In the Pokemon games, the move Sky Uppercut bears a striking resemblance to the Shoryuken. It also functions as an "anti-air", as it can inflict damage on opponents using Fly and/or Bounce.
Coincidentally, in the Pokemon anime; the move is depicted as a normal uppercut rather than a jumping one.
The Marvel Comics character, Deadpool, uses a Shoryuken on Shadowcat after asking her if she has played Street Fighter; she was unable to phase through it as she didn't see it coming. This was to get the attention of Wolverine, as well as to goad him into fighting him.
He also retains this move in Marvel vs. Capcom 3 and its Ultimate expansion, where it acts as his launcher move, though he performs it somewhat "incorrectly" (via his legs being mis-positioned while also not gaining as much height). Ryu also comments on this in his special winquote against Deadpool ("Huh? You stole my Shoryuken?! When did you...!?").
In the movie Aliens in the Attic, the grandmother is seen using the Shinryuken while being brain controlled.
In the 2012 Disney video game crossover film, Wreck-It Ralph right when Yuni from Dance Dance Revolution tells Ryu and Ken that the arcade is closed, Ryu lands a Shoryuken attack on Ken before he asks him if he is going to "Tapper's."
In DreamWorks' Shrek, Princess Fiona uses the Shoryuken (and the Spinning Bird Kick) when she fights off Robin Hood's Merry Men. This also carries over to the console versions of the Shrek 2 video game, where Fiona as her final basic combo finisher also uses a Shoryuken-like move (though time must be slowed down first via her special ability).
In the anime and manga series Hokuto No Ken (Fist Of the North Star), the main character, Kenshiro once used a ki blast called the Tenha Kassatsu ("Heaven's Kill Break"), as well as a flying uppercut, Hokuto Ujou Mosho Ha ("North Star Flying Merciful Slash") in the same episode. This may have inspired the Hadoken and Shoryuken respectively.
In Dragon Ball Z, Goku has access to the Dragon Fist, similarly named after the translation of Shoryuken. Also, Goku's Dragon Fist involves delivering an uppercut to the opponent with a dragon appearing.