@RacingOtaku86, sorry if I hit a nerve with you or upset you or anything; just... I dunno. Be strong. Don't be afraid to speak up, but be prepared to have other people counter you. Take in their viewpoints, go over them. You may not agree with anything they say, but you may still learn about your own viewpoints from how they disagree with those of others.
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@SVX, following all this debacle, I think I'll actually break down why I made my recommendations in my first post on the matter as to why they are what I would consider good newcomer recommendations.
Ghibli can basically be defined as hand drawn animation's equivalent to Pixar, much in the way Aardman might be considered Pixar's claymation equivalent. Spirited Away became the highest grossing Japanese film ever and won the Oscar for best film for a reason; but beyond that Ghibli have a lot of great films, mainly directed by Hayao Miyazaki and Isao Takahata but with a few directed by others. Some are immediately accessible (Porco Rosso, My Neighbour Totoro, Laputa: Castle in the Sky), some completely different to any animated film the west might dare produce (Takahata's war tragedy
Grave of the Fireflies, Miyazaki's ultraviolent historical fantasy Princess Mononoke) and some are Pom Poko and involve raccoon dogs attacking SWAT teams with their giant shape shifting scrotum's. Yeah...
Cowboy Bebop largely deals in themes already familiar to western audiences and, unlike most anime actually has a decent English dub. But that's not the point. There are other anime that do that, but none of them are as cool as Cowboy Bebop, have a soundtrack as good as Cowboy Bebop, or have the near perfect animation of Cowboy Bebop. Yeah.
Puella Magi Madoka Magica is an interesting one. It's appeal, particularly in the earlier episodes, is unfortunately somewhat held back by it's perhaps over exuberant pastiche of the magical girl aesthetic, which generally flies over the head of those who didn't grow up with shows like Sailor Moon or Cardcaptors, but nonetheless it still stands as a TRULY fantastic piece of story telling which is arguably even better to rewatch than to watch, simply because of the way the whole thing slots together.
Just avoid spoilers. You'll enjoy it far more the first time with a virgin mind.
Mamoru Hosoda's films are kind of like Ghibli in style, with a slightly more action oriented nature. I wouldn't say they're as good, but his stuff has the potential to reach that level.
Satoshi Kon's films are rather unique and dreamlike in nature. Perfect Blue has somewhat of a cult classic status amongst non-anime fans. They're worth checking out. He also directed the TV series Paranoia Agent.
Redline is in many ways more reminiscent of many nineties' western graphic novels. It's about intergalactic illegal motorracing. It's utterly mad, but also beautiful.
Death Note is a psychological fantasy detective series about a young man who finds a death god's notebook and uses it to kill people by writing their names and the international super detective in pursuit of him. The characterisation of the guy with the notebook is a bit off at times, and sometimes it takes itself so seriously that it just becomes silly, but overall it's still an interesting, thought provoking watch, if by no means a masterpiece.
Akira is a film about why you shouldn't take drugs.
FLCL is a drug.
Gurren Lagann is a gateway to said drug.
Nichijou is what you start seeing after you take too much FLCL.
Azumanga Daioh is what you're actually looking at when you're watching Nichijou if your vision isn't distorted by all the FLCL.