I'm another Live At The BBC fan. I adored this album on first listening, and play it frequently. It so well captures the early Beatles, their repertoire and their personalities. I can absolutely see why they became such a popular act-- and why everyone said they were so "natural", with their infectious laughter and high spirits. I'm sorry that with their fame they so greatly contracted their show. Replaying their hits for 25 minutes is such a letdown, especially knowing the wealth of material and the stamina that they brought to the table.
My second favorite would be Love. I think what GM did was cool and interesting, and he showcased that beautiful take of "While My Guitar Gently Weeps," which in my mind is the definitive take. But I'm a Beatles latecomer and didn't have the entire original set burned into my brain, so I think the rearrangements were more easily accepted by me.