Let's see, try Gackt and L'Arc~en~Ciel. They are Japanese artists. A whole lot of their songs are good. I haven't heard a Gackt song that I don't like.
HYDE [lead singer of L'Arc] has a lot of good songs as well.
I'll throw in the K-Pop list: Se7en, Super Junior, SHINee, Roh Hi Joon, G-Dragon, Big Bang, 2NE1, T.O.P, Brown Eyed Girls, Girls Generation, B1A4, Phantom, T-Max, TVXQ!, CNBlue, FT ISLAND, Miss A, Sistar, BoA [there's a whole lot more, I just need to remember them].
Don't feel like lyrics? Try Yiruma. "River Flows in You" is amazing.