In the watched tags how can I ignore the questions with accepted answers so, in the least, they do not show like ignored tags do not show?
There is currently no way to filter out questions that have only accepted answers from the usual questions lists (as opposed to having either accepted or upvoted answers as in TheSimpliFire's answer).
However search has the
hasaccepted:yes/no parameter which will show questions either with an accepted answer, or without an accepted answer, depending on
no. Adding a tag search parameter (e.g.,
[calculus]) will filter that to questions with that tag. Also, the
intags:mine parameter returns posts tagged with a tag you are watching (and not with a tag you are ignoring).
Here are a couple of examples:
[calculus] hasaccepted:noreturns all questions in the calculus tag which do not have an accepted answer.
intags:mine hasaccepted:nowill return all question in tags that you are watching (but have no tag you are ignoring) which have no accepted answer.
There is already that feature.
For example, I am watching the calculus tag at the moment and if I click into it, I get this:
The heading says '12,990 questions with no upvoted or accepted answers'.