Beast men are fairy well established in fantasy genre.
Usually, depending on a beast type, they are humanoid in appearance - as in two- legged.
However other features vary greatly - lion men are usually big and muscular with clawed arms and lion heads, Ajani Pride from MTG is good illustration of that, consistent with earlier fantasy depiction:
Bearmen are their own category. They are large, hairy, aggresive in most of settings, have large claws and fangs.
Cat people are somewhat special.
They are usually portrayed as nimble, using tools, claws, stealth but - they are of the size of human or smaller, with short fur.
They would look something like this:
Elder Scrolls Khajit are good depiction of those.
Hyena men are your typical gnolls. Actually Gnoll race *is* Hyena Men.
Gnolls are typically ugly, smelling, aggresive and strong, moving in pack with their large weapons.
Wolf men are somewhat werewolf type - although their personalities do vary much.
Other beast men were also depicted:
Rhino men are especially nicely done in MTG, due to Rhox people:
Fierce, but civilized warriors, that most often than not stand on the side of "Good".
Elephant men were portrayed through the fantasy genre many times as well.
In wizardry series you could have a playable character of Elephant man of Ninja class (try to imagine few tonne elephant ninja).
They are usually big, heavy, and doing a lot of damage and - almost never 'evil' in any sense.
Beast men have been around since 80s(probably much earlier, considering egyptian mythology, but let's talk modern fantasy).
Initially savage, they evolved greatly in 90s and later on and there is a lot of reference on how to picture them.
Of course, there are more modern depiction of them. And it is good to remember smaller creatures are animal people too: