Other comments cover it as well, but generally, you'll see categories like (none are hard and fast, there's overlap, etc)...
- portraits = posed photos with a person as subject
- snapshots / candids = what you describe as "live" photos
- street = snapshots, but of random people moving about their lives (much of photojournalism falls into this category, where the photographer is doing street photography at an event)
- landscapes = photos of the world, where people are not the primary subject, often wider angle
- wildlife = photos of animals, often with a very long telephoto lens
- macro = "super zoomed in" / close up (technically where the subject is equal or larger than the sensor on the camera)
- portraits = posed photos with a person as subject - snapshots / candids = what you describe as "live" photos - street = snapshots, but of random people moving about their lives (much of photojournalism falls into this category, where the photographer is doing street photography at an event) - landscapes = photos of the world, where people are not the primary subject, often wider angle - wildlife = photos of animals, often with a very long telephoto lens - macro = "super zoomed in" / close up (technically where the subject is equal or larger than the sensor on the camera)