How can I have 1 project with different issue types that each show a different set of fields when that particular issue type is created?
I'd like to associate more than one screen scheme with a project.
Going to Projects > Screens > Actions. It looks like only 1 scheme can be selected.
You are right that only one "Issue type screen scheme" can be associated with a project, but that is easy to confuse with a "Screen scheme". The "issue type screen scheme" is a collection of "screen schemes" - it says "in this project, use screen scheme 1 for issue types A, B and C, screen scheme 2 for D and E, and screen scheme 3 for any others".
So it does do what you need (and the other answers have the links you need)
This can be achieved by creating different screen schemes and field configuration’s for each issue type.
You can basically create Issue type screen scheme, allow you to associate to different issue type which will then map to a particular project, for more information on the relationship between field and screen, you may refer to the following documentation:
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