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SAYID:I want to show you something.
HURLEY: Cool, you fixed it.
SAYID:We'll see. [handing Hurley the radio] Hold on to this. Don't expect anything. The chances of getting a signal are slim at best.
[Sayid plants the pole in the sand and turns on the radio. We hear static.]
HURLEY: Static's good, right?
SAYID:No, reception is good.
[Sayid changes the dial and we hear Danielle's transmission.]
HURLEY: Wait, what's that?!
SAYID:It's Rousseau's signal.
HURLEY: Oh, crap.
SAYID[changing the dial]: But this radio has a wider bandwidth.
HURLEY: Hold it, stop! Do you hear that!
RADIO [with spotty reception]: That was the... Duke Ellington... orchestra featuring... up next on WXO, the Glen Miller Orchestra with Moonlight Serenade.
[The song begins to play with good reception.]
HURLEY: Whoa, you hear how clear that is? It's got to be close, right?
SAYID:Radio waves at this frequency bounce off the ionosphere. They can travel thousands of miles. It could be coming from anywhere.
HURLEY: Or, anytime. Just kidding, dude.

In Tale of Two Cities, Jack is stalking Sarah to try and see who her "other" guy is she is seeing. While he sits in his car waiting and watching for her, Moonlight Serenade plays on his car radio.

Now, Glenn Miller, was a great American bandleader whose Army Air Force Band had been performing for Allied troops all over England. He was flying to Paris to make final arrangements to bring his musicians in for a Christmas concert for the Allied troops there. But, the plane never made it to its destination. Its passengers were never seen again.

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On December 15, 1944, he was scheduled to fly from England to Paris to play for the soldiers who had recently liberated the city. His plane departed from Twinwoods Airfield, Clapham, a village near Bedford, but disappeared over the English Channel and was never found. Miller's disappearence remains a mystery; the fact that neither Miller's remains nor the wreckage of his plane (a single-engined Noorduyn Norseman UC-64, USAAF Tail Number 44-70285) were ever recovered from the Channel have led to many conspiracy theories over the years. A popular theory holds that, in the foggy weather that bedeviled the Channel on that day, Glenn Miller's plane strayed into a "safe drop" zone and was bombed out of the air by Canadian Air Force bombers disposing of bombs that went unused during an aborted bombing run on German positions. Despite Miller's disappearence, his band continued to play for troops until August 1945, when the members were discharged and returned to New York.

wikipedia.org