The Third: Aoi Hitomi no Shoujo
I really don’t know where to begin on this one. How about, “Just what is this show about?” Episodes one to four:

The Third is about a 17 year old girl named Honoka and her artificially intelligent sand tank Bogie. Honoka is a “Jack-of-all-trades”, but she’s a little better looking than Bruce Campbell. Basically, she takes jobs as she can get them and uses the money to support herself, keep her tank in good running shape, and buy cool power suits when the opportunity arises. See Honoka lives in a post apocalyptic Earth where something horrible happened in a war and pretty much everything on Earth is now a desert. The rulers of earth seem to be The Third, a humanoid looking race with a third red eye in the middle of their foreheads. The governing power keeps a tight rule over the use of technology, lest the human race become wise to using it in a destructive fashion once again. They’re still a little mysterious right now.

One night, Honoka runs into a guy just poking about in the desert, and dispatches the ants that are about to eat him for late night dinner. The guy’s name is Ikus, and he has really great hair, it’s just nice hair, not spiky for once. Honoka saves him, and they go on their way. Along that way, Honoka makes arrangements to purchase a PSP, because she gets bored with Ikus and needs to play some video….oh wait, not that kind of PSP. Actually it’s a mobile armor suit.

During a battle to save the people that helped her restore the PSP suit it’s revealed that Honoka also has a third eye on her forehead as well. Hers is blue though, and that’s all they’ve told us so far.
There are a lot of elements of other anime in here that may or may not have been intentionally similar. I’m kind of feeling a little bit of Appleseed here, maybe it’s just me. The show is actually one of my favorites this spring season, and it has nothing to do with Honoka actually killing a ton of spiders in the first episode. The action is all well done, the mystery of the main characters is intriguing, and I like the exposition so far. The turnkey episode is the fourth, which is a little later than most, but late enough to get to know the characters well before the meat of the story takes place.
The animation is well done, the character designs are lovely, and the voice acting is also executed nicely. Very interested in this show. I guess I really like swords and tanks.
Update
I actually thought about this some more during work today. While doing so, it strikes me that there are many anime that seem to have influenced this show. The satellites/colonies that fall from the sky remind me of the colony drops used in Mobile Suit Gundam. The desert earth and jack-of-all trades aspect reminds me of SunaBozu, just less perverted. I’m sure there are more that are escaping me right now. I guess the bottom line is that maybe this is not all that original, but I still enjoy the premise and concept of the series.