Provide “Keep Interesting Tags” option when “Hide Ignored Tags” enabled
I'll dive straight into an example. I have the tag "Java" hidden, I'm not interested in Java programming... in general. However, I do have "Android" marked as a tag I'm interested in. What currently happens is any question that is tagged as "Android" & "Java", I don't get to see. So I've had to remove "Java" from the list of tags I'm not interested in (which results in lots of questions I don't care about, with some that I do care about).
My proposal is to not hide any questions that have a tag I'm interested in - that should always be the most powerful criteria.