The Fab Faux – While My Guitar Gently Weeps

Wikipedia’s entry on the Fab Faux:

The Fab Faux is a musical tribute band performing the works of The Beatles. The group features Will Lee, bassist for Late Show with David Letterman, and Jimmy Vivino, guitarist for Late Night with Conan O’Brien. Other members include Rich Pagano, Frank Agnello, and Jack Petruzzelli. The band is committed to performing live what they feel would be an accurate reproduction of The Beatles’ repertoire, oftentimes performing material The Beatles never played live. Often, the band is accompanied by a horn section (known as the Hogshead Horns) and a string section (known as the Creme Tangerine Strings) to achieve the proper sound.

They have more performances scattered throughout YouTube.