in freakshow, a chicken is seen getting it's head violently bitten off by one of the attractions

Season 3 - Dog dies off screen but can be heard Season 5 - Dog dies off screen and is found by owner, shows dog's body.

In Cult, a guinea pig gets put into a microwave.

They get sacrificed for witchcraft

In the newest season, AHS: Apocalypse, a horse dies in the first episode. It was shot in the head.

one guy skins cats and murders them

Several seasons have bugs

Perhaps the one animal/thing that is safe from American Horror Story

Coven

There is an addiction demon and heroin use

Heroin use is prominent in Hotel.

there is s*lf h*rm in season 1

there is forced amputation pictured in season 4

In Cult, a man is hung from the ceiling with hooks in his chest, and another man has nails shot into his head. And there's a "haunted house" of sorts where real people are being tortured and killed.

A man burns his family alive in Murder House. A witch is burned at the stake in Coven.

In apocalypse there’s a scene that implies they’re eating a soup containing human flesh, I don’t think it was 100% confirmed

Roanoke

In season 5, there is an (imaginary) scene where Sally's teeth all break of and fall out, continued with blood.

Drug OD seizure

Coven

Coven, by Delphine LaLaurie

there's various depictions of parents dying in varying levels of gore throughout the series

A couple gets kidnapped in hotel and trapped behind a wall

Yes in the beginning of s1e1.

Yes, Ben in Murder House (S1) and there are other references to affairs throughout the series.

In “Murder House” episode 2, a teddy bear is doused with gasoline before the House is set on fire. We do not actually see it burning.

Seasons 4 and 6 have many clowns. Season 5 has a character briefly in clown makeup

Quite a few

It is mentioned that Kai stalks several people in cult

The entire show is pretty much gore mixed with jump scares, mixed with a heavy helping of 'whaaaaaaaaaaaat?'

Seasons 1, 3,4,5 and 6

Oh yes. The devil possesses people in almost all of Asylum and there is a horrifying exorcism scene in the second episode.

A person's friend shoves their fingers in her mouth after she overdoses on pills, and she throws up.

There's an entire season.

It's used in Asylum, for one person it is used as gay conversion therapy, and for another it fries her brain so much that she forgets her own name.

Many

“They don’t call me hypodermic sally for nothing” -Sally (hotel)

In Coven

autism is not specifically mentioned, but there are mentally handicapped characters that face discrimination and abuse in season 4

In season 1 a character accuses her partner of gaslighting her, but it is because supernatural things are happening to her that her partner doesn’t witness or believe. She is placed in a mental institution as a result, but her partner later believes her and apologizes.

Season 3

Season Seven (cult) has a major part about fears/anxiety and panic attacks

A woman with a phobia of being buried alive is locked in a coffin until she suffocates.

In season 1, Violet commits on screen suicide by overdose. It seems that she is saved by Tate but later episodes reveal her body being infected with flies.

Season 1 in particular has several scenes involving self-harm.

Season One - Episode 1 or 2, there's an entire scene that's based around strobe lighting

In Roanoke (season 6) there is

The first two seasons heavily play on abortion and season 5 an abortion is shown

in season four, there's a scene with dubious consent involving an exploited birth of a child with a disfigurement.

In seasons 1 and 6

In season 1 a character dies in childbirth.

almost every single season of AHS has some type of sexual assault in it

throughout the whole series. the show depicts sex really often

In Cult, a man tries to get his sister pregnant, which she doesn't want.

There is a trans woman in season 5 who is misgendered and an intersex person in season 4 who is misgendered

Deaths of two gay characters in Season 1 Death of a lesbian in Season 2 Death of two gay characters in Season 4 Death of two gay characters in Season 5 Death of a lesbian in Season 7

also racist words used by madam lalaurie

coven

not very many, only a few, and those are in AHS freakshow, where the fat women is that they call ima wiggles.

In season 4 a lot of the freaks are being discriminated and there is ableist language used against them I think

In coven a person says the n-word

S4E2: two male partners are referred to as "fruits" and it is suggested by a character that they are sick and lower than "freaks".

in season 2 there is a woman who believes she's anne frank and a n**i doctor. as well as flashbacks from Auschwitz

Santa is a rapist/murderer in Asylum.

most have bittersweet endings

adelaide is hit by a car and died in season 1

In apocalypse that’s what the season is based on

All of Constance Langdon's children, all of the Countess' children, and many more Especially Kyle Spencer, that was absolutely nauseating

In a number of seasons there are the following: Drowning Trapped in tight spaces with no air Choking Throat slitting and the gurgling that follows Use of chloroform

A family is hung in season 4, but only their legs dangling is shown. Season 1, a man is hung by ghosts.

A girl's head is held underwater until she drowns in Season 3.

There's a mass shooting in Cult "Midwestern Assassin"

Yes. A lot. In every season.

There are car crashes in multiple seasons

There is a scene where a woman gets buried alive in cult, but it is a dream