Goat gets its throat cut (seen and heard), snake is sliced open (seen only), chickens are killed & head chopped off (seen and heard, very gruesome), mouse gets caught in mouse trap (heard only), frog gets sliced open multiple times (seen and heard).
The word "ra*e" is mentioned in episode 1, when the police comes to the witches home and in the beginning of episode 4. And in episode 7 at 5 minutes. And episode 8, at 2:24 minutes. That's all I know till now, but I'll write another comment if I recognize more situations.
madison is raped by a bunch of frat boys in the first episode, zoe walks in on them and finds them. this scene is skipable but referenced a couple times throughout the show
AHS season 3 episode 4 at around 42:15, the scene cuts to Delia hunched over a toilet bowl, there is audio. If you are sensitive to vomit and retching sounds you will want to skip from 42:00- 42:01. I'm currently watching this season and I will update if I find anymore scenes like this.
the witches convince fiona to attempt to commit suicide. she swallows many pills and very nearly dies until she is forced by a ghost to vomit them all up
A character is made immortal, buried alive, and told she'll be there basically until the end of time. The character is absolutely repugnant in every way but the scene BADLY triggered my claustrophobia.
A male ghost watches a girl from childhood until she is an adult without her knowing. Many scenes are shot as if someone is stalking/watching the characters