The Uncharted trilogy was the first thing that came to mind. I'm not sure if that's "cinematic" or not. I consider it an action-adventure with a bunch of good cutscenes. Those cinematics make the game what it is, because they do what a cutscene is supposed to do -- flesh out the characters, make them believable and likeable (or at least understandable), set up and advance the plot, and show big action scenes that can't be translated into gameplay.
I think Uncharted struck the right balance between cinematics and gameplay. I dislike games that have a heavier emphasis on cinematics (e.g., Death Stranding, which has over 11 hours of movie embedded in it). If I wanted to watch a movie, I'd watch a movie. I like cinematics that flesh out and support the action, not take the place of it.
Can anyone help me out on what cinematic means in this context? Is it the length of the cutscenes, lack of interactivity in parts or something else?
I take "cinematic" to mean a game that has a lot of cutscenes. That's all. It doesn't necessarily mean the game lacks interactivity or gameplay in its other aspects; it just means it has a lot of cutscenes, aka cinematics. What's "a lot"? I don't know, at least a few hours' worth.
There are different degrees. Like I mentioned above, some games are heavily cinematic and come off more as attempted movies than games. Others use cinematics to support overall immersion (motivation, drama, identification with characters, etc.).