Is there some way to do that? I mean, of course the most voted unanswered questions are quite interesting, but I would like to see the most recent unanswered questions instead.

• You have several possibilities to view unanswered questions, for example newest or votes tab. Nov 10 '13 at 20:10
• BTW if the solutions suggested in my comment and in Asaf's post are what you wanted, then probably (support) would be a better tag for your post than (feature-request). Nov 10 '13 at 20:28

Search for is:question answers:0 and sort by date.
As Martin suggests, closed:0 will filter out the closed questions, which I presume are less of an interest for you.
• Adding closed:0 was suggested here. Nov 10 '13 at 20:18
• You don't need is:question part; the parameter answers:0 tells the system you are searching for questions. Nov 10 '13 at 22:23
• It's sometimes too clever... is:answer answers:0 also brings up unanswered questions, disregarding the instruction is:answer. Nov 11 '13 at 0:03