You can find a list of unanswered questions already built into Stack Overflow and given prominent mention in main navigation under Unanswered.
To get the exact view you're looking for, just click Newest and voila: 7535 pages of questions—sorted by date—there for the taking.
Now, I hear you asking: "why are there so many pages of unanswered questions?" Well, unanswered questions are unanswered usually for one of two good reasons:
- They're not very good questions to begin with, or
- They require specialized knowledge that even the vast user base of Stack Overflow can't answer
Making a separate site or making the already-prominent Unanswered section more prominent doesn't make these reasons go away. So while it's a bit sad that some questions don't get the love, it's a bit of an intractable problem that isn't solved by quick fixes.