Yes, the Valor insides have mini fridges. If you want to use them, ask your cabin steward to empty it out for you on the first day. They will be full of mini bar items and you will be charged for anything you remove (used or not). If you ask them to empty out for you so you can use it, they normally do so without a fuss.
Carnival Cruise Lines:
Fantasy 90, Celebration 95, Victory 05, Conquest 05, Spirit 6/06, Freedom 6/08, Holiday 7/08, Victory 6/09, Valor 9/09, Dream 6/10, Splendor 8/10,Conquest 8/11,Magic 11/11,Triumph 4/12,Spirit 7/12,Freedom 11/12, Triumph 2/13 - The fire cruise
NCL Dream October 2006, RCCL Mariner OTS June 2007