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)
Those are photographs. The other kind are portraits.
Incidentally, the word "selfie" used to be an acronym for "self-portrait." Now it refers to any kind of portrait (posed, but not necessarily of the picture-taker), so it has morphed into an acronym for just "portrait".
I've heard them called "candids" or candid shots. The only picture I have of my grandfather (who died when my father was young) is of him taking out the trash.
- 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)