I have Direct tv plugged into a gfci protected receptacle. All of the receptacles on same circuit will go dead, but not trip the gfci. Why?
If you have bypassed the GFCI receptacle and still have problems, then there must be a loose connection between the GFCI and the breaker. Here are the places to look:


At the GFCI, are the wires connected by a screw, or by push-in? The push-in connections are unreliable - I have had a receptacle "fry" because of poor connections, and it was installed by an electrician. Installers like them because they are fast, but I always go with the screw connection.
At the breaker, is the breaker making good contact with the power bus? If the bus is corroded, even a new breaker might not make good contact. Try plugging the breaker into a different slot, if there is one to spare.
Also in the panel, is the neutral (white) wire screwed down tightly?
Are there any other outlets between the panel and the GFCI receptacle? If so, make sure the twist-on connectors are tight, and that the splice is not made through the receptacle. 


Note that loose connections will not trip a GFCI. Neither will short-circuits between hot and neutral - they will trip the breaker in the panel. Also, nothing "upstream" will trip a GFCI. And once a GFCI is tripped, it won't reset itself.