Hi Beth, I'd like to recommend some of my favorated Chinese singers : 王菲 , 梁静茹 , 陈绮贞 , 韩红 ,童安格,and for groups I'd like : F.I.R.飞儿乐团, 黑鸭子 ,苏打绿. I hope you can enjoy it.
By the way ,I love listening to a Irish singer's album, his name is Glen Hansard and his wife Marketa Irglova, I found this amazing couple musicians in a great movie "Once".