There's a list back
here. Some are pretty obvious, like the new touch interactions. For the ones that aren't (numbers taken from a older mod patch and may or may not be exactly right)....
To turn the yandere mod on and off type Yandere or Deredere into the talk bar, you need two thousand affection.
For the date mod take Sylvie out early in the day and go rest in the plaza, you need one thousand five hundred affection.
The rape roleplay mod adds a new (ish) nightly sex option, have Sylvie wear just her old rags. Need one thousand two hundred affection and three hundred lust.