Her life was really incredible, the woman is a testament to good acting and glamor. She made over 40 films and was a great philanthropist for HIV/AIDs research.
One of the most impressive things about her for me was her transition from child star to adult star. In this age when children are exposed much younger to sex drugs and rock and roll all you hear about is the rough transition of most child stars (take Lindsey Lohan for instance). I can only think of the stars of Harry Potter and Dakota Fanning off the top of my head. Although she was hardly a hit maker all the way through her career she started making some of the greatest films in her mid-twenties. Her dramatic skills were almost unparalleled in her day.
And don't forget her beauty. Those deep blue, intelligent eyes and her curvaceous body!
She was the subject of the tabloids for decades throughout her eight marriages, two of them to Richard Burton. She's an extremely interesting figure and her films are classic- Cleopatra, Cat on a Hot Tin Roof, Who's afraid of Virginia Woolf-you've probably seen reference to them even if you didn't know it.