Address Bar auto-complete top-level domains

With the current popularity of both ubiquitous search and web
applictions, URLs are becoming more and more "results oriented". When
typing in my address bar for, say, ebay.co.uk, I'm presented with lots
of suggestion sorted (quite rightly) with the pages I accessed most
recently, which is normally the results of random searches I've done,
or items I've viewed.

However, most of the time I don't actually care about previous search
results: I want to make a new search (or in this case maybe login to
"My eBay") but I don't get the option of just going to the site. At
best I could go to the search result (which may well throw an error on
many dynamic results pages) and then click the "Home" link on the
site.

What I would like to see is two sections of "suggested" links offered
- both my recent and also the "Top-Level" sites/site pages,
separated