You've probably already seen them, but I'll mention a few anyway.
Fullmetal Alchemist Trigun Cowboy Bebop Attack on Titan Monster Welcome to the NHK 太空 Brothers Eden of the East Death Note
Not sure about the ratings on these shows, but I know they're all good shows.
太空 Brothers is probably the only 显示 in this 列表 that is completely family friendly, though.
If you're looking for kid shows, Fancy Lala is a good. Potemayo is pretty cute, too.
Inuyasha, Naruto, Bleach, and One Piece are what most people watch and you'd probably like them since they're 流行的 and all. I don't watch them very often, but they're decent shows.
