Is there any filter option in Stack Overflow. so that I can see only those questions which are having some answers (or no answers) with unaccepted answer. So that I can try to help OP.
Advanced search is your friend:
So what you need is just type
hasaccepted:0 into the search box to get what you ask for, then sort by newest. Shortcut.
Unlike the Unanswered tab, this will also give questions that have upvoted answers.
The only downside is that being a search, it's limited to 5000 results which means the oldest question you will find is ~24 hours old.