The number of new questions being submitted on Stack Overflow means that a question only gets a few minutes to be spotted on the front page before being lost forever.
The unanswered questions link seems to show all questions without an accepted answer, and isn't in date order, so anything you missed before it left the main page is impossible to find.
How about adding:
1) A "today's questions" link to show all of a day's/the previous day's/a week's/&c. new questions.
2) A "more" link to show the "next screen" of questions that were pushed off the bottom.
3) Not displaying — at all — questions for ignored tags, to give more space for questions that you are interested in and will likely be able to answer.
I appreciate the sense of not having SO split into separate sites for each language/technology — but at the moment we are drowning in questions I have no interest in.