Quote:
Originally Posted by Marsch
Oh! Edo Rocket is in the lines of Eureka seven? because i really loved this series, the character developement was really good.
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No.
Rocket has a number of anime in-jokes, one of which is Sora's similarity in appearance to Eureka. I wouldn't suggest this as a starting point for someone unfamiliar with anime; it's exceptionally off-beat. For instance, here's a picture of most of the main cast:
Click image to enlarge.
Since we don't have much information on your girlfriend's tastes, I'd suggest
Moribito or
Nodame Cantabile. These are both shows that someone unfamiliar with anime might relate to.
Moribito has a very impressive heroine; Nodame is a ditz, but a very talented one.
Moribito is also
streamed at ANN, though only with dubs and ads.
Usually I find it easier to introduce newcomers to anime by watching a movie.
Mononoke Hime,
Millenium Actress, and
Summer Wars are all good bets in a variety of genres. You might also take a look at
this thread.
Saiunkoku Monogatari would have made my list, too, but it's no longer being distributed in Region 1. Other stories with strong, though young, heroines and solid character development include
Daughter of Twenty Faces and
Shion no Ou. Both have some intense violence in a couple of places, if that matters.
Claymore and
Baccano have a lot more.
Natsume Yuujinchou or
Cross Game are other possibilities. Both are streamed with subtitles.
Edit: Looked at the thread I cited above and saw a recommendation for
REC, which I'd endorse. It's short, too. The two of you could watch the whole thing in a evening.