For pop genre : Atiye, Kenan Doğulu, Sıla, Nil Karaibrahimgil, Ajda Pekkan, Pamela Spence, Yalın, Sezen Aksu, Candan Erçetin, Funda Arar( she sings rock, too), Göksel, Hadise, Işın Karaca, Nilüfer, Sertab Erener,
and for rock : Aydilge, Barış Manço ( i think he was perfect ), Can Bonomo, Cem Karaca ( my other favourite one ), Demir Demirkan, Emre Aydın, Erkin Koray ( great ), Hayko Cepkin, Kıraç, Murat Kekilli, Ogün Şanlısoy, Teoman ( perfect ), Şebnem Ferah ( I would die for her ).
These are the ones I know. You can listen them on youtube. I hope that you like, some of them are really great. Have a good day :)
I am a Turk.