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I mean where the eclisping body has an atmosphere. The moon is a solid body with hard edges. It can give total eclipses, annular eclipses (where the entire moon is surrounded by the sun but it doesn't block the whole thing because it's farther from the Earth), and partial eclipses (where they overlap but aren't entirely on top of each other).

Earth would make a different kind of shadow where there would be other variations depending on whether the planet itself and/or the atmosphere are fully or partially covering the sun.

And then there's Jupiter, where the atmosphere is much larger than the rocky core and the pressure is high enough that it's not very well defined where the atmosphere transitions from gas to liquid to solid, which would probably give a different effect for eclipses. Though that depends on how opaque or transparent it is, also the sun's apparent size would be smaller, so it might be kinda underwhelming.