I just finished another anime series, this one called The Third: Girl with the Blue Eye, and it was fantastic.

Plot Synopsis:
The series is set many years after a devastating war, which killed 80% of the earth's population. Earth is being watched by a group of beings known as The Third, named after the red eye on their forehead (Space Eye) that can access many types of computer systems. It follows the adventures of Honoka and Bogie.

( Non-spoiler-y thoughts beneath cut . . . )