I think it used to be possible to see them, I would very much like to know the most popular questions in the Stack Exchange websites.
Do you want to see a single view of popular questions across all Stack Exchange websites, or for a particular SE site?
If you're looking for the latter, go to the site's main page, click "Questions", then "votes". You'll end up with a list of all questions, sorted by votes. Here's that page on Stack Overflow.
I believe that page respects your ignored tags, so remove any of yours to view all questions.