Once you get enough reputation (10k to be more precise) you get access to a lot more information than probably you want.
access to moderator tools privilege will allow you to check most of everything the site has.
A preview of most of the tools available when you reach the 10k reputation mark is displayed here. They are not the same but there are a lot of common functions.
Until then you can simply search the site with a lot of possible filters, a cool one that might help you sort out recent questions with accepted answers is
hasaccepted:1, try that in the search box from the main site and it will return all the questions in Ask Ubuntu that have accepted answers.
Sort that by activity or by creation and you have something close to what you request, have a look here!
I can sort of understand some usefulness to your request, but because of the already implemented solutions and tools and style I don't really agree that we need to clutter the main site with another tab.