Having numerous computers behind a home firewall/router, I've often used 
WhatIsMyIP.com to figure out what my 'real' external IP address is.  It's useful when I'm giving someone FTP access or when the local DNS servers are fritzing out or when my wireless card keeps acquiring a legit 
external IP address and I want to make sure I didn't blow a big hole in my router firmware the last time I tweaked it.  For semi-permanent access like VPN and Remote Desktop I use 
DynDNS so I don't 
need to know the IP address, but sometimes I just need the info quick and whatismyip.com does the trick.  It's one of maybe 20 simple web utilities I use every week.
Well the (really quite) simple web utility 
just eBay'd for $386,100US.  Wow.  Somebody somewhere is pretty damn happy right now... for an investment of maybe a few hundred dollars, they really raked it in.  The site gets over 1.7 million hits each month, with over 3GB/day bandwidth provided for free by 
Shanje.net in exchange for the most unobtrusive little adspace in the upper right corner.  This is where it's at, now... the whole dotcom 'killer app' hunt fizzled out, but small free helpful little websites are making all kinds of money.  Power to the people indeed.
There's a good chance that whoever bought it is going to totally fuck it up, turning it into a large page of ads with a tiny little box that shows your IP address.  (Compare 
whatismyip.com to 
whatismyipaddress.com... which would you rather use?)  They'll turn over a few million this year from 
Google AdSense hits alone, and they won't care if it dies out after that.  Or, who knows, maybe they'll be discreet and do it right.  If not, there are other options like 
IPChicken or (even better for scripting) 
checkip.dyndns.org, which returns a single line of text: "Current IP Address: your.ip.add.ress".  If you've got your own webpage with CGI/PHP/ASP/SSI functionality, you can also just do this yourself... it's a one line script.  Won't work on Blogger though :/