Becky, this is very interestng- I read Levitin's "Brain" book but haven't yet read the Sachs book, though I want to. And I didn't even know about Levitin's latest! Let me see if I can find songs to fit your categories. 'Scuse me while I cut and paste:
"friendship -- none, though from my non-trad and non-memorized repertoire, I'd pick Judy Collins' "Open the Door"" Couldn't agree with you more!
joy -- My chorus sings so many joyful songs, I can't really pick one. Unless it's "Deck the Hall with Boughs of Holly"- children sing it all year round, add new words, use it to express all kinds of joyful moments.
comfort -- "Blessed Quietness", "All through the Night"
knowledge -- Hmmm, have to think about that one.
religious -- "this list is thin on that point," For me it's vast, though many of my songs point in different directions (or not, depending on your point of view!). A few for me would be "How can I keep from singing", "Alleluia, the great storm is over", "Amazing grace", "Om nama shivaya", "God danced the day you were born"...
love - Dorothy Attneave wrote a lovely round called "The love your deepest heart desires" which pretty much says it for me
This is fun- I may have to build a chorus season around this concept. Thanks, Becky!