There are a few others: Drake (his middle name), Obie Trice, Pharell Williams, Mike Jones, Kendrick Lamar (first and middle name), J Cole, Theophilus London , Jermaine Dupri, Talib Kweli, Nas (short for Nasir), Warren G, Andre 3000 (sorta counts), Keith Murray, Joe Budden, Erick Sermon, Lauryn Hill, Wyclef Jean, Pras, Wale (shortened first name), Jim Jones, Charles Hamilton, Mike Posner, DJ Khalid. There are others I am sure, but using all or part of your real name is fairly common.
I’m not sure that would count since he performed as the Fresh Prince up to the point where his name became more recognizable as an actor than as a rapper.