MadHF,
I've seen several leading BEatles cover acts including "Classical Mystery Tour" (with symphony orchestra doing the fills, wonderful!), Rain (twice), 1964 (very good, early BEatles stuff only, simple arrangements), and others. All were most enjoyable and I would recommend each. Classical Mystery Tour, in particular, may appeal to many on this site due to the use of symphony orchestra.
All these acts do a good job reproducing the BEatles recordings live using modern techniques to great affect.