So both Life is Strange and Until Dawn have what’s called the butterfly effect something that’s kind of a questionable concept at best but it’s somewhat real. Telltale was famous for games like this as well. But yeah it’s like depending on your actions it can change the story and thus play more like a movie with a different possible story. What type of game is this?
Story/Narrative.
Telltale is the most prolific developer of these kinds of games.
Japan has had elements similar to this in visual novels for a long time. Snatcher, Policenauts, YU-NO, etc. feature the same type of gameplay but without the parts in Life is Strange where you explore in a 3d environment.