Next Big 3 Anime to watch?

[Torche]

Watch Code Geass, then Bleach because it's shorter. Skip Bleach's filler though, that'll save you a whole bunch of time. :lol

In term of how I'd rate the shows: Code Geass > One Piece > Bleach. Just my opinion tho.

 

[WoldOfFingo]

Code Geass or One Piece

Code Geass is about a former prince who formes an organization to overthrow he current nazi-ish empire..
my (favorite short anime)

If u like adventure, with a big world and a ridiculous huge cast of characters including humans , dwarfs, giants, fishman,dragons and other creatures watch One Piece. It's main character is a pirate who wants to find One Piece (the great treasure what was hidden by the former Pirate King 20 years prior to the series)
One Piece has 3 factions that are roaming around. Pirates (the bad guys) which the MC's belong too. The marines (it's like the naval police) who are the world's 'justice' and the revolutionairies, whoms main goal is to overthrow the world governement.

 

[DoubleKamui]

Watch One Piece. It shits on Bleach at every category (maybe not the fights though).

Code Geass is pretty good as well.

 

[Hori]

I see I see, if by the big 3 you mean Naruto, Bleach and One Piece I suggest you look for anime very much similar to them.

My suggestion would be for you to watch the old Hunter xHunter, new Nanatsu no Tanzai, Fairy Tail, SAO, Log Horizon etc. Those are much similar to the big 3. However please don't watch Toriko unless you wanna look at food at another way.

 

[iNotorious]

I'll recommend you some of the animes that I did like a lot, you might have different taste than I but give it a try. I will include the genres of each anime so you can get an idea of what you're going to get yourself into.

Bakemonogatari [Mystery, Romance, Vampire, Supernatural]

Btooom! [Action, Sci-Fi, Psychological, Seinen]

Danganronpa: Kibou no Gakuen to Zetsubou no Koukousei - The Animation [Action, Mystery, Horror, Psychological]

Ergo Proxy [Mystery, Sci-Fi, Psychological]

Fate/stay night: Unlimited Blade Works [Action, Fantasy, Magic, Shounen, Supernatural]

Gosick [Mystery, Drama, Historical, Romance]

Grisaia no Kajitsu [Drama, Romance, School, Harem, Psychological]

Higurashi no Naku Koro ni [Mystery, Horror, Supernatural, Psychological, Thriller]

Hunter x Hunter (2011) [Action, Adventure, Shounen, Super Power]

Jigoku Shoujo [Mystery, Horror, Supernatural, Psychological]

K project [Action, Super Power, Supernatural]

Log Horizon [Action, Adventure, Fantasy, Game, Magic, Shounen]

Mahou Shoujo Madoka★Magica [Drama, Magic, Psychological, Thriller]

Mahouka Koukou no Rettousei [Magic, Romance, School, Sci-Fi, Supernatural]

Mirai Nikki [Action, Shounen, Supernatural, Psychological]

Mondaiji-tachi ga Isekai kara Kuru Sou Desu yo? [Fantasy, Supernatural]

No Game No Life [Adventure, Comedy, Ecchi, Fantasy, Game, Supernatural]

Persona 4 The Animation [Adventure, Mystery, School, Sci-Fi, Super Power, Supernatural]

Shingeki no Kyojin [Action, Drama, Fantasy, Shounen, Super Power]

Tengen Toppa Gurren Lagann [Action, Comedy, Mecha, Sci-Fi]

Working!! [Comedy, Slice of Life]

Zankyou no Terror [Psychological, Thriller]

Zettai Karen Children: The Unlimited - Hyoubu Kyousuke [Shounen, Supernatural]

I recently watched One piece, it took me 3 weeks to complete 700 episodes + manga. I'll tell you something, the anime has a terrible pace. If you want to pick up real fast I highly recommend to read the manga.

If you want more animes to check out then check out my list

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