To me. looking specifically at cgi animation and eliminating the studios associated with Disney, this leaves:
*Sony Pictures Animation - Notable for Open Season (2006), Surf's Up (2007), Cloudy with a Chance of Meatballs (2009), The Smurfs (2011) and Hotel Transylvania (2012)
*Illumination Entertainment - Notable for Despicable Me (2010), Hop (2011) and The Lorax (2012)
*Blue Sky Studios - Notable for Ice Age (2002), Robots (2005), Horton Hears a Who! (2008), Rio (2011) and Epic (2013)
Where I am looking:
http://en.wikipedia.org/wiki/List_of_animation_studios
http://en.wikipedia.org/wiki/Computer_animation