I've enjoyed Death Note and Attack on Titan. Some western cartoons in anime styles, most notably Avatar:Legend of Aang and Legend of Korra are extremely good too.
I love the art style, it's present in lots of japanese video games too, such as the Tales of... series, which I've enjoyed quite a bit myself. There are some tropes which are a little annoying though. I lost all interest in Sword Art Online when everyone started falling in love with the main character for example. Ugh.