Consider searching for the names of people you know are living in obituaries. A search for my parents (both living) in the current obituaries at Genealogy Bank resulted in two hits--my grandfather's obituary and my uncle's obituary. It wasn't anything I didn't already have, but it got me thinking that I could search for living people in the text of obituaries, hoping to find them listed as survivors.
These searches were performed as keyword searches--not in the names of the deceased.
At Ancestry.com's obituary collection, make certain you have the "exact" box checked to get matches that include all the names you enter as keywords.