My closest connection is 11 steps to my 9G grandfather Henry Samson, a Mayflower passenger who is not on this list. He was a teenager when he traveled to Plymouth on the Mayflower.
Among the people on this list, I have 12 steps to Elizabeth Tillley Howland; 13 steps to Priscilla Mullins Alden, Mary Allerton Cushman, George Soule, Myles Standish, and Edward Winslow; 14 steps to William Bradford and Mary Brewster; and 29 steps to Massasoit Wampanoag. None of the Mayflower passengers in that group are direct ancestors to me, but Edward Winslow is a blood relative (his brother Kenelm maps out as my direct ancestor).
I noticed some odd quirks (OK, I will call it a bug!) while looking at my connections to my Mayflower passenger ancestors. Connection Finder showed my connection path as a direct-descendant relationship to passenger Richard Warren that had not previously showed up in Relationship Finder. Formerly (before today, as far as I know), Relationship Finder had showed me as a direct descendant on my maternal side, via his 2G granddaughter Lydia (Keen) Partridge. Now that relationship no longer appears for me in either Relationship Finder or Connection Finder (but Lydia still comes up in Relationship Finder as both his descendant and my ancestor, leading me to believe that Richard is still mapped as my ancestor), but I see a relationship on my paternal side (in both Connection Finder and Relationship Finder) that I had never seen before via his granddaughter Patience (Little) Jones. Relationship Finder now shows me with exactly one relationship to Richard Warren (there is no hint of the possibility of other blood relationships). Apparently, Relationship Finder is limited to only one direct-descendant relationship to a particular person.
Edited to correct small errors I missed earlier because I saved this quickly when my phone rang.