If you sign up with the individual airlines to get emails from them, when there are special fares they will send lists of cities and costs to other places from them. I get them from Southwest and American regularly.

www.farecompare.com has getaway maps. you have to do a little bit of research after their map comes up, but it's a start.

There's a similar question to this on the airline board, you might check out that thread.

I get weekly emails from Travel Zoo. They usually have items like this.

If you go to itasoftware.com and click "airfare search", you can search airports within 300 miles, so if you put in say "Tampa plus everything within 300 miles" the lowest fares will come up. That's one way to search around I guess.

www.airfarewatchdog.com does this as well.

Lee Ann

I use a regional airport (GSO) The airport sends out weekly emails with specials on all carriers. Check your airport, perhaps they do it as well.

I love this question and hope there is such a website. Years and years ago, lastminutetravel.com had an option like this, but now you have to put in a destination.

Ah, the days of the weekend specials were SO neat--they would send the special and the destinations and the fares were "nothing".
Are you in Washington? Why not choose a few places and check Kayak or cheaptravel.com.