Digging into some deep speculative fiction here rather than pure fantasy.
An Idea I've always I liked that can be extended to include tectonics is deep speculative biology, creating links between plants and animals with ancient evolutionary connections with distant relatives across former continents, within this world extremely slow evolving or slow living creatures could experience time differently to us, to our eyes they might seem completely static like rocks or trees but to them they are a thriving and active community.
From that you can have civilisations that have existed in some form across hundreds of millions, or even billions of years with notable epochs in their long history being related to points in time where different land masses were connected, causing major societal upheaval and rapid evolutionary shifts, but also access to potential new resources and technology.
You could have one group of people on an isolated plate that over hundreds of millions of years contacted other landmasses and either settled them causing new disparate groups to form, or met with existing other groups and shaped their future by passing on some technology or resource.
Imagine an overwhelmingly large planet with uncrossable oceans, how they're uncrossable could be expanded upon, but imagine that travel across this ocean is completely impossible or impracticable in some way, perhaps flight is also impossible to extreme gravity, high technology may be impossible due to resources. plate collisions are rare due to the immense size of the planet and the small size of the landmasses in comparison so the only way these people have ever come into contact with other civilisations or non native species is through the slow movement of their plates, they have remnants of stories from their deep history, they have long melded into mythology, possibly becoming their creation myths.
So a short prompt for a story or role play of some kind could be:
An outcast scientist has created a piece of equipment to peer into the distance and he sees what appears to be land, it seems to be moving towards them, fast. He tries to tell the ruling priests that a landmass is approaching and will make contact with them within a generation, they scoff as the prophecies say it will be a thousand generations before the next "meeting".