First: Death Note
Trust me, death note is one of the best introductory anime. It relies on very few japanese tropey things (such as the whole spontaneous nosebleed thing) and damn near everyone likes it, even the people who don't usually watch anime.
After that, I recommend:
Tengen Toppa Gurren Lagann
FLCL (after you've seen a few others)
Mirai Nikki (not finished it yet, but I've read the manga nad that was real good).
Fullmetal Alchemist: Brotherhood (specifically brotherhood, not the other one).
I would really not recommend something that's really long like naruto or some such to start with. Too much of an investment right at the start (plus I think shorter ones tend to be better). Pretty much not naruto/blach/one piece (don't get me wrong, I love me the bleach manga, but the OP is best starting on something shorter).
Also, people are recommending Elfen Lied as an anime. Don't watch that one, read it instead. The anime changed stuff to shorten it and it was definitely not for the better (in my opinion).
Last edited by A.J10; 24-06-2012 at 21:23.
Watch tengen toppa gurren Lagann or Full Metal ALchemist as starters and you will thank me...the come ask for more
Sure, mainstream anime like bleach, naruto and one piece are great for what they are and what they've given in terms of story style and likeablility but many fans of these would have seen just these.
Try gurren lagann and if you dont like it I'll help otherwise
Last edited by narusku; 24-06-2012 at 22:07.