Adding in some documentaries, I'd highly recommending watching these climbing docs as a trilogy to understand the scope of what's being achieved as well as understanding the different approaches to the sport:
The Dawn Wall: Introduces you to climbing legends such as Tommy Caldwell and the difficulty of the sport, with the main focus being one climb in Yosemite.
Free Solo: Takes the dawn wall and makes it look entry level, focuses on Alex Honnold who climbs 'free solo' meaning without ropes or a partner.
The Alpinist: Difficult to put into words, focuses on an almost completely unknown climber called Marc-André Leclerc who is to climbing as Michael Phelps is to swimming. This guy completes climbs even the greatest in the sport consider far from humanly achievable, with part of the doc being a battle to even find the guy to film as he doesn't care for media attention or fame for his climbs.
The docs all contribute to the understanding of what drives the people pushing the bar of what's considered possible, and in the subsequent docs the previous climbers appear frequently in interviews that adds a kind of continuum which is why I love these 3 together rather than as individual pieces.