As News Corp splits off the entertainment division into it's own company the new name will be 21st Century Fox. The Iconic movie studio will keep the 20th Century Fox Name.
http://www.theverge.com/2013/5/9/4316444/21st-century-fox-logo-revealed-by-rupert-murdoch
http://www.theverge.com/2013/5/9/4316444/21st-century-fox-logo-revealed-by-rupert-murdoch