Ms. Jun Fudo used to be nothing more than a successful model, until fate intervened and thrust her unwillingly into the role of the Devil Lady. Once transformed, Jun becomes a murderous beast who destroys anyone (or anything) that opposes her; a power that the mysterious Asuka Ran wants to harness and use for an unknown purpose. With similar beasts emerging across the city and the body count piling, can Jun survive long enough to discover the truth behind her kin, and keep her human soul in control?
It is the year 2023, 30 years since the time of the Silent Crisis that brought the world to the brink of destruction. In the present, other-dimensional beings known as the Lucifer Hawk are running rampant, and threaten to take over the human world. The only hope for mankind is the AMP -- the Attacked Mystification Police -- a group of women with paranormal abilities who are dedicated to stopping the Hawk at all costs. With the frequency of attacks increasing and the bodies piling up, it's up to Katsumi Liqeuer and the rest of the gang to stop the invading threat... before it's too late.
For a much better look at the invading monsters concept, with more mature characters and better animation, check out Silent Mobius. If you liked Devilman Lady I can't see why you wouldn't like this.
In the human world, there live demonic invaders named Shinma who prey upon the fragile souls of humans. The only hope for the humans is one of demonkind: Miyu, who is fated to destroy the Shinma and send them back to whence they came. Although half-human herself, as well as living amongst them as a typical high school student, she bears no compassion for those she saves, as well as condemns. Along with Larva, her subservient, Miyu sets out to destroy evil, one Shinma at a time.