Hi Anne..here's a few I have...
Ballads of the Green Berets/SSgt Barry Sadler
Title Song/+ Letter From Vietnam/I'm a Lucky One/
Garet Trooper/The Soldier Has Come Home/
Saigon/Salute to the Nurses/Lullaby/
I'm Watching the Raindrops Fall/
Badge of Courage/Trooper's Lament/Bamiba/

Other songs are: Hello Vietnam/Dear Uncle Sam/
Bring Our Soldiers Home/What We're Fighting For/
Special Forces/Whirly Bird Crew/The U. S. Rangers/
The Men In The Green Fatigues/The Fighting 101st/
Major Todd [of the Green Berets]/Sam From Vietnam/
The Young Soldiers/I'll Say Goodbye to Vietnam/
The Battle Hymn of Lt. Calley/War Baby/
Wars and Wars/Till We Bring Our Johnnies Home/
Jungle War/Why Doesn't Someone Write to Me/
Tell The Folks I Miss 'em/Goodbye Curly Head/
Don't Worry, Just Pray It's All Worth Fighting For/
It's Got to be Done/Over in Vietnam/LBJ and Liberty/
and more....a few may not be Vietnam related..

And a 2nd LP by S/Sgt Barry Sadler...have to dig out the title and song list...
And Kris Kristofferson hosted a tribute show
on PBS-Austin City Limits a few years ago,
of former Vietnam veterans singing parodies of
popular songs woven around events in Vietnam
Jolly Green is one I remember about the chopper
rescue/pickup crews...and Incoming and some
I don't remember the titles of at the moment
I have that also...