As a furry and a general fan of transforming characters, I’m going to contribute a long answer.
You probably could use “were-tiger”, but as some other people said, “were” implies a lack of control over the transformation, or that the character is not always in that form. If you’re referring to a character that always has the form of an anthropomorphic tiger, I would just use “tiger” and let the anthropomorphic aspect be obvious visually (most works with anthropomorphic characters do this), or come up with your own name for the species, like in my below example.
---kin, ---folk, ---men refers to animal species that have humanoid characteristics 24/7.
unlike humans which create arbitrary race names to divide a single species as much as possible,
these animal species tend to have distinguishing names as little as possible. any subspecies difference in their names only occurs when they are openly hostile to another subspecies of the same race. so you need to ask yourself, are these tigermen at war with harefolk?
I disagree. Especially in a literary context, where readers create an image of the characters themselves, it’s important to make distinctions between different subspecies with different traits. In video games, it adds more interesting species/race dynamics.
The laguz in Fire Emblem: Path of Radiance/Radiant Dawn
are a great example of this. In the games, laguz is a broad term for “humanoids with a few animalistic traits that can shapeshift into an animal form”, but there are several different varieties (beast, bird, dragon) and even varieties within those varieties (e.g. within beast laguz there are cat, lion, tiger and wolf laguz.) Each of these varieties has its own traits associated with it from a gameplay standpoint and also a world building/cultural standpoint. Some get along with each other (e.g. the beast laguz comingle in the same kingdom) but others do not (the hawk laguz and raven laguz do not get along, and the hawks in particular would be quite offended at being associated with the ravens.)
I shudder thinking about how much worse the world building and games would be if there weren’t any distinctions made between the different subspecies.
Also, Topic Creator, here’s the Fire Emblem Wiki page on tiger laguz. Their transformed forms aren’t anthropomorphic, but you may find this useful/relevant.
The Tiger (虎タイガー Taigā) is both a race and a class Beast tribe Laguz that is exclusive to the Tellius Series of Fire Emblem. A group of Laguz that is able to assume the form of a tiger at will, Tigers tear into their foes either with their Claws in Path of Radiance or their Fangs in Radiant...
As for the tigers? I just call them anthro. ...or awesome. I really wish there were anthro playabpes in modern RPGs. When was the last time Final Fantasy or Tales had one?
You would probably like the game I’m developing right now, Outcasts of the Rift
. The game’s entire population is anthropomorphic animals (think Redwall.) Also, a good portion of my cast can transform into another form to battle.