Awarded to Dr. John A. Wheeler by the Institute for Advanced Study in 1965 for "Achievement in the Natural Sciences." Obverse: profile portrait of Albert Einstein with "The Albert Einstein Award" around perimeter. Reverse: "Awarded to John A. Wheeler for Achievement in the Natural Science" on plaque in center surrounded by two branches. "In Memoriam Lewis and Rosa Strauss" at bottom.

Awarded to Dr. John A. Wheeler by the Atomic Energy Commission, United States Government in 1968, "for his pioneering contributions to understanding nuclear fission, developing the technology of plutonium production reactors, and his continuing broad contributions to nuclear science. Obverse: portrait of Enrico Fermi, with ENRICO FERMI AWARD along top perimeter. "Scientia Progressus" and "1901-1934" on either side of portrait. Reverse: "Presented to John A. Wheeler for especially meritorious contributions to the development, use, or control of atomic energy" in center. "September 13, 1968" below. "Atomic Energy Commission United States of America" along perimeter.

Matteucci Medal awarded to Dr. John A. Wheeler by the Società Italiana delle Scienze in 1993. Obverse: Societa Italiana Delle Scienze" around perimeter. Phoenix with open wings, standing atop fire, at center. Image of sun at top. Reverse: "J. A. Wheeler 1993" at center. "Premio Matteucci" at top perimeter. Two branches tied together by bow at bottom perimeter.

Awarded to Dr. John A. Wheeler by the Dansk Ingeniorforening (Denmark) in 1982. Obverse: profile portrait of Neils Bohr with "Niels Bohr 1885 1955" along perimeter Reverse: "Contraria Sunt Complementa" along perimeter. Image of atom in center.

Awarded to Dr. John A. Wheeler by the Franklin Institute in 1969. Obverse: profile portrait of Benjamin Franklin with "FRANKLIN MEDAL" around perimeter. "Founded in MCMXIV by Samuel Insull" at bottom. Reverse: "AWARDED BY THE FRANKLIN INSTITUTE TO JOHN ARCHIBALD WHEELER 1969 FOR SIGNAL + EMINENT SERVICE IN SCIENCE"; branch with leaves and berries throughout text.

Obverse: profile portrait of Carl Friedrich Gauss; "Carolvs Fridericvs Gavss NAT. MDCCLXXVII APR. XXX OB. MDCCCLV FEB. XXIII" around perimeter. "Brehmer F." under portrait. Reverse: ivy wreath; "Georgivs V Rex Hannoverae Mathematicorvm Principi" in center and "ACADEMIAE SVAE GEORGIAE AVGVSTAE DECORI AETERNO" around perimeter.

Obverse: profile portrait of Carl Friedrich Gauss; "Carolvs Fridericvs Gavss NAT. MDCCLXXVII APR. XXX OB. MDCCCLV FEB. XXIII" around perimeter. "Brehmer F." under portrait. Reverse: ivy wreath; "Georgivs V Rex Hannoverae Mathematicorvm Principi" in center and "ACADEMIAE SVAE GEORGIAE AVGVSTAE DECORI AETERNO" around perimeter.

Obverse: classical female figure standing with shield marked "NATIONAL INSTITUTE OF SOCIAL SCIENCES" Reverse: bas-relief of torch; "NATIONAL INSTITUTE OF SOCIAL SCIENCES" around perimeter; "DIGNUS HONORE EDWIN G. CONKLIN " at center.

Obverse: bas-relief profile of Athena; "INSTITUT DE FRANCE" along perimeter. "Dumarest f." at bottom. Reverse: wreath encircles incised text: "SIMON FLEXNER 1937" Presented to APS along with the papers of Simon Flexner (APS Library).