Just a few suggestions. Neon Genesis Evangelion, Berserk, Akira, Ghost In the Shell, Perfect Blue, Fist of the North Star, Space Dandy, Cowboy Bebop, Parasyte, and Tekkaman Blade. They aren't really entry level, but if you want to appreciate the artistry and style of Japanese anime, while also having some amazing stories to go through, I would highly suggest any of these.