I recently stumbled upon this gem by pure coincidence. The ad for the final episode appeared on CR's front page and the art style alone forced me to look into it.
It turns out the art style isn't the only thing which makes "Time of Eve" worth watching. Rarely does an anime achieve such well imagined characters over 20+ episodes, never mind 6. The transformation of Masaki in particular is a joy to behold (which culminates in a particularly moving scene in the final episode).
It's certainly one of few animes I've seen that successfully conveys living with androids as a realistic possibilty. Much like the recent District 9, the series distinctly displays what can only be described as racism towards these "objects". It is perhaps this element that sets it apart from the huge number of robot-related animes in existance.
However there is also the incredible camera style, something I rarely notice in an anime. Every now and then you'll see a scene from a semi-first person perspective. Or the camera will start in the middle of the scene's room/area and then shift to the characters/action. It's little moments like that which make ToE a masterpiece in its own right.
Then there's the music. I only gave it 4 stars simply because there isn't much music in ToE. But what there is, is very special indeed. I have to congratulate whoever created the ending theme. It's simple and catchy, but matches the series perfectly. There are also a few scenes involving solo piano music, however I won't spoil them, since they're all stand out moments.
The ending leaves room for another season, along with the final written statement being "The End?" which only enforces the idea.
Personally I'd love to see a second season. The series is easily up there with the greats and it's short nature constantly leaves you begging for more.