The New York Times reported that a White House aide said the first family gave the queen an iPod loaded with video and photos of her 2007 trip to the United States, as well as Broadway show tunes.
The Obamas also gave the queen a rare songbook signed by Richard Rodgers, of Rodgers and Hammerstein, the newspaper reported.
In exchange, the queen gave the Obamas a silver-framed signed photograph, a gift she gives to all visiting dignitaries.
When British Prime Minister Gordon Brown visited the United States last month, Obama gave him 25 of his favorite movies on DVD.
Notable deaths of 2014 [PHOTOS]