Born: Washington, DC
Farthest traveled: Spokane, WA
Straight line distance: 2,093 miles
Just this past March, as it happens.
Akron, Ohio to Melbourne, Australia–9,968.83 mile/16,042 Km per the site mentioned in the opening post.
Born in Washington, DC, furthest distance I’ve been is to Maunabo, Puerto Rico, 1593.34 miles (2564.23 km). I have, in fact, been to places that are further apart than this, but all of those places are closer to my place of birth.
2.2 miles from birthplace. The furthest I had ever lived was about 7 miles.
Here I thought I’d be bringing some real numbers by having traveled in a land down under, but my 9,547.34 mile Lakewood, Ohio USA to Sydney, NSW Australia doesn’t even break the 10,000 ceiling. That’s 153,644.1 meters, though, which sounds more impressive.
7 miles? Really?! I traveled farther than that yesterday just to get lunch.
Helpful reference:
There are only a few places on Earth that have land antipodes. Spain and New Zealand, northern coast of Canada/Siberia/Greenland and Antarctica, China and Chile/Argentina, SE Asia/Indonesia and the Amazon basin, Hawaii and Botswana, plus a few random oceanic islands. If you’re not from one of those areas you’ll never get to travel to a land antipode from your birth.
Since I was born in Seattle, the closest I can get is Kerguelen at 11,850 miles. Madagascar or Mauritius are pretty close. For Brits it’s going to be New Zealand, for East Coast Americans it’s going to be western Australia.
I’m a mere day tripper compared to many of you. My longest is:
Beverly Shores, IN to Irkutsk, Siberia = 5,921.3 miles
Hibbing MN -> Singapore - 8910 miles
Sacramento, CA to Rome, Italy - 6164 miles
ETA: It looks like the distance shrunk by 12 miles since December of 2011…must be Continental Drift 
According to http://www.antipodr.com/, there’s an island “French Southern & Arctic Lands” as well as “Heard Island” (both in the southern ocean) that come pretty darn close to a land antipode (antipod?) for Seattle.
To the OP: Washington DC to Doubtful Sound, NZ: 9208. I hope to break the 10K barrier on my trip to Australia, but that isn’t until 2017.
I traveled from Poland Warsaw to Denver, Colorado USA. And then from Denver to San Francisco. So it’s 8534 km and 2012 km. So it’s going to be 10 546 km from home.
Brisbane to St. Petersburg is 14, 500 km and that is not all that unusual.
I might have one of the smallest numbers for someone who has still done a lot of traveling, since I grew up in Western NY and have traveled to London, Madrid, Key West, western Oregon, and Los Angeles, and apparently the farthest of these is Madrid at 3800 miles.
Born in Palmerston North, New Zealand, and visited Geneva, Switzerland, 18944 km / 11771 miles. We actually drove all around Switzerland and some other parts of Europe so we may have got to a more distant point.
Born in Sheboygan, WI. Farthest from there I’ve been is Melbourne, Australia at 9691 miles. Next was Agra, India at 7449.
I currently live 61.8 miles from the place of my birth.
Chicago to Auckland, basically 8000 miles. Hopefully I’ll hit Australia some day.
Akron. Oh to Melbourne, Australia–9,976 miles.
9,293 miles, Quezon City PHL to Miami FL USA.
Philadelphia to Sydney, 9863 miles. They give it in hundredths of a mile, which is silly since that’s not much more than the distance to my next door neighbor.