If you haven't looked at it already, I recommend becoming familiar with the wiki at ISOGG (International Society of Genetic Genealogy). Their page of Autosomal DNA Tools includes:
AncestryDNA Helper A Google Chrome extension provided by Jeff Snavely
which allows you to extract and download a spreadsheet of your
matches.
Shannon Christmas' blog Through the Trees walks the user through the process in the post Using AncestryDNA: Steps for Success. Follow steps 1-5 to review the matches for repeating names. (Disclaimer: this post is from 13 December 2013, so the screenshots from AncestryDNA may not be valid any longer. I do not have access to AncestryDNA so I can't double-check this. Please leave a comment on this answer if this method doesn't work any longer.)
After going through this process, the real work of comparing matches needs to be done on a site like GEDMatch where you have access to a chromosome browser. Christmas warns:
AncestryDNA has yet to install a chromosome browser or provide
matching DNA segment data. Without those crucial product features, no
AncestryDNA customer can definitively determine how they are
genetically related to their matches. AncestryDNA offers “Shared
Ancestor Hints” that display a common ancestor who appears in both
trees and may have contributed the DNA one shares with one’s match,
but as CeCe Moore of Your Genetic Genealogist illustrated with
multiple examples, customers cannot “simply be told that a certain
common ancestor is responsible for a DNA match and be expected to take
AncestryDNA’s word for it.” Our analysis requires genetic data and
tools to analyze that data.
Once you have access to a chromosome browser, you'll be able to employ other techniques, such as the one CeCe Moore demonstrates in her post Chromosome Mapping aka Ancestor Mapping.
Horizontal Pedigree Charts
An alternative to sorting your match spreadsheets alphabetically by surname is demonstrated in Analytic Genealogy's post Genetic genealogy needs horizontal pedigree charts. The horizontal pedigree groups the information like this:

Many analysts use spreadsheets which keep groups of surnames together, the same way you would see them in a pedigree chart. In this template, the author saves space by compressing the entries for the first three generations (entering the names sideways), leaving more screen space open to view and compare the earlier generations. Follow the link to the blog post -- and look through the comments to find the most recent link to a downloadable template for the spreadsheet shown there.
The author says:
It is set up to print on 11 x 17 at a copy shop. It is also expandable
-- you can copy the table into a new worksheet and then each person in the last column becomes the base person of their own table, assigning
them the ahnentafel number next to their name.
This extensibility would allow you to go 9 generations back, or more. As you can see from the screenshots in these blog posts, many genealogists make use of color-coding to mark out individual lines or groups of parents/grandparents.
For an explanation of Ahnentafel numbering, see Wikipedia: Ahnentafel.