Genocyber and Takopi's Original Sin

Animes with unstable females.

Genocyber (1994)

In a future where scientists weaponize unstable little girls, they are hilariously surprised when the psybernetic (that's not a typo) weapon goes on a rampage and over the course of a handful of episodes quickly obliterates most of the planet. The old style anime art is well done and the stories are interesting enough but it would have been great if they gelled together a bit better instead of seemingly having time skip cold opens a few times. 

Takopi's Original Sin

A goofy alien that looks like a happy squid lands on Earth with the mission to make people happy and pairs up with an abused and suicidal teen. The animation of this one is really smooth with a violently depressing story (though I found some dark parts quite funny). I have a feeling that because the beatings depicted are more grounded to reality it actually hurts more than say the flurry of blows in Dragonball Z. Very different from my normal viewing, and very dark.