I've been listening to "That Means A Lot" fairly obsessively for the past couple days since re-borrowing The Beatles Anthology CD set from my dad to stick it on my iPod. As in, it ends, and I immediately play it again, and then I think about it a third time.
If there is a better "lost" Beatles track than "That Means A Lot," I have not heard it (I guess that means you've still got a shot, "Carnival of Light").
Let no man speak ill of the Anthology when it brings us such treasures!
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(EDITED to add links if you are inclined to listen to it yourself, and as long as I've got your attention...)
I'm trying to put my finger on what exactly I like so much about this song. It's got a couple strikes against it, actually. The mix on the Anthology is going for a kind of Wall of Sound thing but just comes off muddy. And the lyrics on the song itself I don't find quite up to the usual pop elegance of the Lennon-McCartney team of this time. That "a friend" conceit sort of sticks out and isn't used for any reason, the first verse has a redundancy that doesn't sit well (First line: "A friend says that your love won't mean a lot", last line: "But when she says she loves you, that means a lot") and the pronouns are kind of all over the place. They sound a bit like temporary lyrics, except that there's apparently twenty-plus takes out there all with the same words (although it's possible that this is all used to a secret, brilliant effect that I'm too dumb to pick up on).
The music itself, as a song rather than a performance (although the drumming is great, any take I've found on YouTube that does it differently isn't as good), I find really stirring though, maybe it's as simple as that. I looked up some tab for this song and messed about with it on piano and I really like that Am6 chord (if that's indeed what's actually being played)...