Does this type of travel website exist?

I’ve checked the major ones - travelocity, expedia, and, and I haven’t managed to locate the search option I want.
Is there a travel website that will let me put in the starting location and the amount I want to spend and then give me a listing of possible flights I could take within my budget?
And if I’m just looking in the wrong spot on these websites, can you direct me to the right spot?

It appears that Travelocity’s Dream Maps (Travelocity > Flights > More Search Options > Dream Maps) will do what you want. You plug in your departure city and a maximum fare amount, then it’ll display a map of all destinations with fares equal to or less than what you’ve entered.

That is exactly the sort of thing I was looking for.
Thanks Earthling