In Internet gambling, we want anonymity of players. Players don't want other people to know that they are playing or they win a million dollars. For most of the games, we also want confidentiality since fairness is dependent on this. We also want the authentication of the dealer.
For the military secure communication, usually secrecy has different levels. For different levels of secrecy, different levels of receivers can decrypt the messages. We also want non-repudiation of messages, authentication and authorization of senders. Since it's for military security, we don't want any privacy or anonymity of senders.
For the electronic magazines, we want privacy of the subscribers. Also we want the authentication of senders (which are the publishers). We also want the confidentiality of the data so nobody can read it without paying for it. And we want integrity so nobody can change the data on its way.