D&D uses the term lycanthrope to refer to any sort of werecreature (though the second edition Monstrous Manual acknowledges the misnomer, and suggests "therianthrope" as an alternate name). There are multiple varieties of lycanthrope aside from the usual werewolves, werebears, wererats, wearboars, weretigers, dire wereboars (hill giants that turn into dire boars), and jackleweres. The 3.5 edition monster manual even has a template for any animal. They've always been able to take on the normal animal form and infect with a bite, but other details have cropped up with the evolution of the game, including the addition of a "hybrid" form equivalent to the Man-Wolf, the existence of natural lycanthropes in addition to infected ones, and the imposition of a whole new alignment (and personality) not just on the nonhuman forms but on the human(oid) as well. The most recent edition has the Lycanthrope template, allowing one to make were-anything characters. Recent publications introduced the Shifter player race, descendants of humans and lycanthropes, who were effectively "lycanthrope-lite".
Mystara has Chevall. The centaurs who turn into full horses at will and can be hurt only by silver or magical weapons and... that's all.
Van Richten's Guide to Werebeasts is an AD&D 2nd Edition, Ravenloft book with a host of rules on werebeasts. Unlike most settings, lycanthropes in Ravenloft are almost universally evil, except for the Lawful Good wereravens.
The tibbits, introduced originally in Dragon magazine and reprinted in the Dragon Compendium book, qualify. Their humanoid form is small, with Pointy Ears and cat eyes, somewhat resembling halflings. They can turn cats at will.
Dragon magazine also included a sillier variant in the form of the werehare. Among other things, the creature could only be harmed by magic weapons and holy hand grenades.
The old Night Howlers supplement for the boxed set/Rules Cyclopedia edition of D&D actually presented rules for weres as player characters in the Known World (Mystara). Notably, actually acquiring the full powers and immunities of "normal monster" weres took time and experience points and the ability to transform into a hybrid "beast-man" form only came at fairly high level after that. The book also explained the ultimate cause of lycanthropy in the setting as a magical virus that escaped from an Alphatian lab in ancient times — a literal case of A Wizard Did It.
Warhammer Fantasy doesn't mention them offer, but there are a few, apparently; there's quite a few werewolves and werebears living in the Northlands — in fact, lycanthropy (in the "turn into an animal/man-animal hybrid at will" sense) is one of the older Chaos Gifts. Another is to become a "Chaos Were" — a mutant who can assume a human form, but then revert to their usually far gribblier true form when danger threatens.
With Innistrad and its accompanying marinade of Hammer Horror tropes come Werewolves.
Rifts and other games in Palladium's Megaverse have them as multiple species, ranging from Wolves to Bears, and some of the big cats such as Werepanthers and Werejaguars.
The Old World of Darkness' Werewolf: The Apocalypse, in addition to the titular werewolves, has 11 other breeds of shapeshifters, described in their own Splat books. Some examples include the Corax (were-ravens), Gurahl (were-bears), Bastet (were-cats), Rokea (were-sharks), Mokole (were-lizards), Kitsune (were-foxes), and Ananasi (were-spiders).
The New World of Darkness also has werewolves, and provides tools to build just about any wereanimal you can think of (in Skinchangers, Changing Breeds and War Against The Pure).
The Munchkin card game gives us a werepenguin, a werehamster and a weremuskrat. They are all oversized and sharp-toothed - even the penguin has fangs.
In the GURPS Supers supplement Wild Cards, Sewer Jack is a were-alligator.
Exalted features the Lunars, who are technically werebeasts in that they have one totem animal they strongly identify with and can easily shift to — but then again, they can shift into anything if they drink its heart's blood. Two of the signature Lunars (Red Jaws and Ma-Ha-Suchi) are technically werewolves, but if you go by signature characters alone, you've got wereowls, werecats, werebulls, wereorcas...