If you are at ALL into sci-fi, I'd recommend Steins Gate. It's relatively modern and highlights a few popular locations in Japan and also a bit of some culture. The characters are all great, amazing story, captivating... it's my favourite anime overall. It's not too long, and whenever I recommend it to someone they always tell me they had to stay up all night to finish the last several episodes because it's too good to stop.
(subbed, not dubbed, of course)