R.E.M. - Hartford Civic Center, Hartford, CT, USA - Aug 12, 1983
Incomplete
R.E.M. - Sheppard Air Force Base, Wichita Falls, TX, USA - Jun 3, 1983
Partial setlist.
The band was not well-received; several people in the audience referred to the band with gay slurs, and after a while Bill Berry decided to leave the stage. He was replaced for the rest of the show by Sara Romweber of Let's Active.
R.E.M. - Park West, Chicago, IL, USA - May 25, 1983
The show likely finished with "Carnival of Sorts" and "Skank" but can't be confirmed due to a cut in the recording.
R.E.M. - The Palms, Milwaukee, WI, USA - May 22, 1983
Incomplete setlist. Also, R.E.M. only performed the "Aquarius" portion of "Aquarius/Let the Sunshine In".
R.E.M. - P.B. Scott's Music Hall, Blowing Rock, NC, USA - May 4, 1983
Incomplete
R.E.M. - University of the South, Sewanee, TN, USA - Apr 2, 1983
Incomplete
R.E.M. - University of Miami Student Union, Coral Gables, FL, USA - Mar 31, 1983
Incomplete
R.E.M. - Plaza Hotel Pool Deck, Daytona Beach, FL, USA - Mar 30, 1983
Incomplete
R.E.M. - Davidson College, Davidson, NC, USA - Feb 5, 1983
These are the only two confirmed songs played, though presumably most of the material on Murmur was also.
R.E.M. - The Circus, Oslo, Norway - Dec 6, 1984
Partial setlist from an FM broadcast source
R.E.M. - Queensway Hall, Dunstable, England - Nov 29, 1984
Possibly incomplete
R.E.M. - Manchester Polytechnic, Manchester, England - Nov 17, 1984
Incomplete setlist; several of the earlier songs were cut from the recording.
R.E.M. - Yokohama City University Concert Garden, Yokohama, Japan - Nov 10, 1984
Live debut of "Auctioneer (Another Engine)"
R.E.M. - Pier 10 Ballroom at Aloha Tower, Honolulu, HI, USA - Oct 31, 1984
Incomplete
R.E.M. - University of Massachusetts, Amherst, MA, USA - Oct 15, 1984
Partial setlist
R.E.M. - University of Mississippi, Oxford, MS, USA - Oct 3, 1984
Partial setlist
R.E.M. - Page Auditorium, Duke University, Durham, NC, USA - Sep 26, 1984
"Moon River" was indeed played twice in a row.