Maybe is missed something, but is a there a way to hide/show questions with an accepted answer?
This can be done with the search parameter
hasaccepted:no. Here is the list of newest questions without accepted answers.
See the search help page for other search parameters. To use them efficiently, find a combination that works for you best and bookmark the search page. For example: newest questions within my favorite tags that are not closed and do not have an accepted answer.