Movies stick to 24 FPS (which actually plays back at 48 FPS) because it’s what viewers expect. Faster frame rates look more like news or sports in appearance, and it tends to disrupt the movie experience. Meanwhile, when playing games, higher frame rates provide more information and better response times to the player.
In movies, higher frame rates lead to smoother playback, so higher numbers tend to look better. That said, 60 FPS has been the standard for playback speeds for more than 30 years, and it’s probably what looks most comfortable to viewers. Very high recording speeds are what allow for slow-motion sequences.