Soopar Kegan
A port is a simple adaptation
A remake leaves the core mechanics alone
A re-imagining can be related however you want to the principal game.
I see, I think I agree. Depending on what you mean by "core mechanics" like, with Metroid. That keeps the core mechanics of the metroid series, the NES one was very limited, so the added a lot of new features, abilities and level designs. But the goals and style of gameplay is pretty much the same.
If I understand correctly, I can't think any "re-imaginings" of video games. At least none that remain video games anyway. Do you know of any? Or do you think of Zero mission as a "re-imagining?"