From TV Trope's entry on essential anime, meant to highlight trendsetting and defining works, those with of historical note, and major works of various genres. Targeted more for people who are first getting into anime and have literally no idea where to start or common conventions, sub genres, or tropes.
The Animation Kobe (アニメーション神戸) is an event established by Kobe city in 1996 to promote anime and other visual media. The Animation Kobe Awards are given annually by Kobe and the Organising Committee to creators and creations.
So, here is my list of all winners, whatever it is winner of Individual Award, Theatrical Film Award, Television, Packaged Work or even Theme Song Award, it's on this list.
For other complete lists of animation by year, check my lists overview:
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A personal list with animes I consider newcomer friendly
If you've decided to start watching some anime shows and don't want to get a complete culture shock, this list is for you. It won't contain movies though. I'm going to create a separate lists just for those at a later date.
Cowboy Bebop, Mushishi, Monster, Ghost in the Shell and Samurai X: Trust and Betrayal are what I would call "coincidental anime". If you don't want to get into anime as a whole these are the titles I would recommend to give a try. They tend to appeal to a more mature audience and don't have any of the typical tropes which define but also plague anime in general.
Attack on Titan, Samurai Champloo, Neon Genesis Evangelion, Death Note and Spice and Wolf are really easy to get into and have fairly unique settings.
Hunter x Hunter, One Punch Man, Gurren Lagann, Katanagatari, Hellsing Ultimate and Dragonball are action packed and tend to have anime typical exaggerated characters. Watch some episodes and decide if those are for you.
Feel free to leave a comment if i missed something essential and have fun watching