Title Where You Can Get It
99 Days She Likes The Weather by the Himalayans
A Little Discipline She Likes The Weather by the Himalayans
Angels in America She Likes The Weather by the Himalayans
Babies She Likes The Weather by the Himalayans
Back to Baltimore Janie EP by Mod-L Society
Barbarossa Light Music For Dying People by Sordid Humor
Diamond and Babies and Cars She Likes The Weather by the Himalayans
Floating Over You She Likes The Weather by the Himalayans - only on 2nd release!
Good Morning Little Sister Unreleased, the first song Adam ever wrote
Jaded She Likes The Weather by the Himalayans
Janie Janie EP by Mod-L Society
Ordinary Superman She Likes The Weather by the Himalayans
Nothing But a Child She Likes The Weather by the Himalayans
River Shannon She Likes The Weather by the Himalayans
Sailor Song She Likes The Weather by the Himalayans
Save My Life She Likes The Weather by the Himalayans
She Likes The Weather She Likes The Weather by the Himalayans
Someone Else's Chapstick She Likes The Weather by the Himalayans - only on 2nd release!
Sooner or Later Unreleased song by the Himalayans
Way Home She Likes The Weather by the Himalayans
Wishing Well She Likes The Weather by the Himalayans

These are old songs that are (co-) written by Adam Duritz and have not been covered by Counting Crows since (to the best of my knowledge) Note also, that Adam sings on 10 of the 12 tracks on Sordid Humor's album, but only co-wrote Barbarossa.