The Chitauri, from Marvel Comics’ Ultimate line, although they’re basically alternate universe versions of the Skrulls mentioned upthread.
Reptilians, from modern UFO folklore (David Icke, et al).
Serpent Men, from Robert E. Howard’s King Kull and Conan stories, although they’re a prehuman terrestrial species, not extraterrestrial. Also, although they can’t quite perfectly imitate humans - they can’t say the phrase “Ka Nama Kaa Lajerama”.
Poppupians (exemplified by Impossible Man) originally could perfectly imitate virtually anyone or anything. In later appearances they couldn’t change color (so they could perfectly imitate a human except they would be green).
The Technarchy, “techno-organic” beings with…inconsistent shapeshifting abilities, exemplified by Warlock of the New Mutants. In at least some appearances, they could flawlessly imitate humans.
Skrulls were the first thing that occurred to me for some reason. Seems like about half of all alien species can shape shift to human form, and half of the rest already have human form.
Since we’re of course mentioning fictional aliens, maybe someone should bring up the space zombies from Pluto. “It’s already mutated into human form! Shoot it!”
Scarlett Johansson plays an alien in human form in Under the Skin (2014). Other than seeing Scarlett Johansson nude, there’s not much reason to watch it.
Cocoon
Animorphs - not limited to humans
My Favorite Martian - movie version
Contact - “a form you’re comfortable with”
Dreamcatcher - not the villainous ones that need to possess humans, but the good one that opposes them
V
Wasn’t there a shapeshifting assassin in one of the Star Wars prequels? Attack of the Clones, I think?
And the female lead in Cowboys and Aliens usually looked human, but IIRC we get a glimpse of her true form (and she admits that her true form doesn’t actually look human).
If we’re talking superhero media (as the Skrulls being the only example suggests) it’s the other way around. More than half look passably human (non-blue Kree, Shi’ar, Kryptonians, Thanagarians, etc) and probably half of the ones that don’t can shape shift (Skrulls, Martians, Durlans, etc) , or easily disguise themselves as human with a bit of makeup (blue Kree, Coluans, etc).
Many of the monsters & spirits in the webcomic White Noise can shape-shift into a perfectly passable human form. Some can shape-shift into other forms as well.
From DOCTOR WHO, Carrionites “resembled a giant skeletal raven or crow”, but one who messed with William Shakespeare “could assume the form of a beautiful young woman” and worked as part of a trio — and you get the idea, right? When wearing a hooded robe, can morph to a form that could pass for ‘old hunched crone with a beaklike nose’; uses alien tech that’s built around biological samples and voice commands, which looks a lot like ‘getting a lock of hair from someone before casting a magic spell’; and their other accoutrements run the gamut from ‘oh, the crystal happens to be shaped like a ball’ all the way over to ‘okay, that right there is clearly a cauldron’.