Imagine the opposite of this:
http://i46.photobucket.com/albums/f116/cireking213/The%20Sims%204/EP6%20Get%20Famous/DpDyMDlXoAE99IG.jpg%20large.jpg
That would be: Get Infamous
Not as a pack itself, but a feature of the Drama and Danger pack.
Just lift the fame mechanic and tune it to being infamous instead of famous.
Your sim could gain infamy perks that will allow them to be the center all drama in the world.
These sims could grow to be really despised in the community if you really go for it.
You would often see them in the Get To Work jail. And they would be common suspects in investigations.
These are the sims that you can declare a Nemis.
A true Nemesis that will have you entwined in a decent into drama if you go there.
They will stalk you like they do in The Sims 2 if you mix it up with them.
Actually, Get Famous has some Get Infamous game-play built in with its Reputation, Perks, and Quirks game play.
