I'm a bit of a mushy romantic comedy person myself, but every now and then I watch something different and usually I don't like it. This anime, is not only visually enchanting but it had me to the point of tears in the last episode.
If you feel like sci-fi is not your thing or you don't like a bit drama then maybe put that aside for this one because I promise you won't regret it. Time of Eve is a very well made anime and I will probably end up watching it over again, although I'm sad there's not more episodes.
I noticed that this was released in 2009 and for some reason I've only just found out about it, so I hope that this review incites more people to go watch it.
Lastly, if you liked Chobits for it's take on human and android interactions/emotions then you'll love Time of Eve.
