She can currently be seen as Detective Carter in the television show, Person of Interest, and was also a regular on Boston Legal, but sadly, her television work hasn't allowed her the depth and freedom that her film work has.
Even though she had been acting for a while, her first noticeable role was in John Singleton's Baby Boy, followed by her breakthrough performance as Shug in Hustle and Flow. Those two performances alone qualify her as one of the best and yet she topped them with her Oscar nominated portrayal of Queenie, the caregiver that raises the boy with the aging disease in The Curious Case of Benjamin Button.
Her television work is good, but her film work is exceptional. In fact, it's hard to believe it's the same actress in all of these roles. Taraji P. Henson doesn't need fame. That would only limit her possibilities. Her career is going along just fine. Besides, who needs to be a star? Especially when you already shine.