For use with a user communication device (UCD) that communicates over a packet network by alternately transmitting and receiving streams of associated continuous media communication data packets, systems and methods for providing call processing features, such as call forwarding and call blocking, to the communication device. In one advantageous embodiment of the present invention, the call processing system: (1) determines that a call composed of a stream of continuous media communication packets and associated with the UCD requires a specified alternative processing and (2) causes the continuous media communication data packets associated with the call to be processed in accordance with the specified alternative processing.