1952 First ascent Tahquitz Open Book (Premier 5.9 (6a) aux Etats-Unis)
1957 First ascent Northwest Face of Half Dome, Yosemite. Avec Jerry Galwas et Mike Sherrick, en cinq jours.
1960 The Nose, El Capitan, Yosemite, CA, USA. Second ascent. Royal’s rival (and friend, don’t believe everything you see in the movies) Warren Harding beat him to it, making the first ascent in 45 days over an 18 month period. Royal did it in 7 days with Joe Fitschen, Chuck Pratt and Tom Frost.
1961 First ascent Salathe Wall of El Capitan, YosemiteThis was considered the hardest big wall grade VI climb in world at time. With Tom Frost and Chuck Pratt
1962 American Direct, Aiguille du Dru, Mont Blanc Range, France. With Gary Hemming.
1962 First ascent North Wall of Sentinel Rock, Yosemite
1963 First ascent Direct Northwest Face Half Dome, Yosemite
1963 Robbins Route, Mount Proboscis, Logan Mountains, NWT, Canada. With Jim McCarthy, Layton Kor and Dick McCracken.
1963 West Face, Leaning Tower, Yosemite, CA, USA. Second ascent and Yosemite’s first wall done solo (Grade V).
1964 North American Wall, El Capitan Yosemite, With Tom Frost, Chuck Pratt and Yvon Chouinard.
1964 North Face, Mount Hooker, Wind River Range, Wyoming, USA. With Dick McCracken and Charlie Raymond.
1964 Danse Macabre, Devils Tower, Wyoming, USA. With Peter Robinson.
1965 American Direttissima, Aiguille du Dru, Mont Blanc Range, France. With John Harlin.
1967 Ascension de “Nutcracker” (5.8 / D+, 170 m), Yosemite, avec sa femme Liz, première voie gravie entièrement sur coinceurs, et sans utiliser de pitons afin de ne pas endommager les fissures du Yosémite. Cette ascension sera le point de départ de l’ère de l’escalade trad.
1967 West Face, El Capitan, Yosemite Valley, CA, USA. First ascent with TM Herbert.
1968 Muir Wall, El Capitan, Yosemite, CA, USA. First Grade VI solo first solo of El Capitan.

https://www.royalrobbins.com/blog/first-ascents/