By album, because there's no way I could do this otherwise (beginning with All Summer Long, since that's--embarrassingly--where my BB collection starts):
Kiss Me Baby
The Girl from New York City
Amusement Parks USA
She's Goin' Bald
Aren't You Glad?
Everything on side 1 of Friends
Be with Me
I Went to Sleep
Cool, Cool Water
A Day in the Life of a Tree
You Need a Mess of Help to Stand Alone
Here She Comes
Cuddle Up
Steamboat
Big Sur (but the album version!)
Funky Pretty
It's OK
Susie Cincinnati
Roller Skating Child
I'll Bet He's Nice
Airplane
Wontcha Come Out Tonight?
Pitter Patter
Angel Come Home
Love Surrounds Me
Sumahama
and, yes, Shortenin' Bread
Phew. I love this band so much.