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 宇宙 Brothers Eden of the East Death Note
Not sure about the ratings on these shows, but I know they're all good shows.
宇宙 Brothers is probably the only 表示する in this 一覧 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 人気 and all. I don't watch them very often, but they're decent shows.
