In Barkley, Shut Up and Jam: Gaiden, during an optional path to Liberty Island, Balthios James is revealed to be a Wereduergar who transforms into a rampaging Duergar (dark-skinned dwarves) every Columbus Day.
In Bayonetta, the main character has the ability to transform into a black panther at will, granting her cheetah-like speed. Likewise, the character Jeanne (a fellow witch in the game) can transform into a red lynx.
The main gimmick of Bloody Roar is that every character is some sort of werebeast. There's a weretiger, werebear, werelion, wererabbit, werefox, werecat, wereboar, weremole, werebat, werechameleon...
Borderlands has Were-Skags in the first DLCnote Skags are pretty wolf-like, coming in varieties like "Pup" and "Alpha", but possess armor plating and heads like Venus fly traps, which open vertically.
Dragon Age: Origins a variety of werebeasts. Most werebeasts are actually humans or animals possessed by demons from the Fade and subsequently mutated.
In the DLC for Dungeons of Dredmor, there's a skill that allows the player to become a Werediggle. Diggles are the game's Mascot Mook, rubbery birdlike things with drills on their beaks.
Dwarf Fortress includes were-everythingsnote Well every non-sapient mammal and reptile in the game, including weresheep, werekoalas, and weregoats. To be specific, during the generation of a world's history, peasants will sometimes profane a god's temple. The god of the temple will then curse them into turning into a randomly chosen creature when the moon is full. The curse's victim then runs away from their town and finds a hole in the ground out in the wilderness to live in. Sometimes when the full moon comes out they'll go back to the town and bite someone to make new were-whatevers, who will in turn flee into the wilderness and inhabit their own hole-in-the-ground. If you let world generation go on for long enough the wilderness around a town with a temple can become absolutely infested with were-giraffes/zebras/platypi.
The Elder Scrolls universe features a variety of therianthropic creatures, including werewolves, wereboars, werelions, werecrocodiles, werebears werevultures and even possibly weresharks. Apart from werewolves, werebears and wereboars, all of these were only mentioned in the in-universe book "On Lycanthropy" in Daggerfall.
Werebears finally make an appearance in Dragonborn, the second DLC for Skyrim.
While the information in On Lycanthropy is obviously outdated, seeing as what it stated was the dominant strain in the province of Skyrim is completely absent from the game of Skyrim (up until the Dragonborn DLC, which doesn't even take place in Skyrim, and in fact had been visited and confirmed as werebear-free in a previous game), one thing it says is consistently indicated by the games: werewolves are the most ubiquitous, common form of lycanthropy in Tamriel, and that is why it is traditionally called lycanthropy even if it only strictly should refer to werewolves.
While not called werebeasts or werecreatures, Fire Emblem Tellius, has Laguz: a race of people who can shift from human-like forms into animal forms. When in human form, they still have certain animal-like physical traits, such as tails, wings, ears, and colored stripes on their faces. Varieties include cat, tiger, lion, wolf, hawk, raven, heron, and dragon.
Pictured on the main Our Werebeasts Are Different page are the animal forms of the Norn race from Guild Wars 2, they have a pantheon of animal spirits that they worship, but venerate four above all the rest for directly aiding them in an exodus from their homeland, besides the bear and wolf (they lack boar in-game, interestingly) pictured above, there's also the raven and snow leopard forms.
In The Legend of Zelda: A Link to the Past: When people enter the Dark World, they turn into an animal (real or fantasy) that reflects their personality. Link becomes a pink bunny rabbit but keeps his trademark tunic.
Similarly in The Legend of Zelda: Twilight Princess, Link turns into a wolf when exposed to Twilight, rather than a ghost like everyone else, because of the shielding effects of the Triforce of Courage.
In Sonic Unleashed, Sonic the Hedgehog can turn into Sonic the Werehog at night. During his transformation, Sonic is a bigger, furrier, and werewolfish version of himself with huge stretchy arms. He's nowhere near as fast as he is in his normal form, but he is much stronger.
Unlike most examples of lycanthropy, or even the other possessed people in the game, he's able to fully control himself. Why? Could it be that annoying magical sidekick on his shoulder protecting him? Actually no, it's because Sonic the Hedgehog is just that awesome.
Keine Kamishirasawa from Touhou is a were-hakutaku, a mythological beast that appears to wise and just rulers to dispense advice. Her transformation is limited to a hair of pointy horns and a bushy tail, and a change in hair (and dress) colour, from blue to green. It's also said she wasn't born a were-hakutaku, but that it's acquired.