That looks like a broken custom field plugin, or tweaked code in the core. Have you got customisations like either of those?
Could you try narrowing down the search and see if you can find a pattern when it breaks (e.g. it's only project X, or issue type Y, or when field Z has data)?
The stack traces you are facing seems to related to the following knowledege base article:
Please give it a try and see how it goes
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