I like oranges, but don't like getting my hands sticky with orange juice afterward. I just tried a simple peeling method from Instructables user eggmix that worked great. Just score a line from one end to the other over where you think an orange slice may exist within, put your fingernails along that line, and rip it open.
My first trial worked great and leaked maybe two drops of OJ. I think this technique may be a keeper.