My ideal method of travel would be to see a list of all destinations I can get to for less than a certain amount of money. If that means taking 3 layovers (or even chaining 3 different flights) that's fine. It would also be nice if it were aware of various deals available such as Chase's periodic 10% off Southwest flights or United's "Excursionist" perk.
I very rarely want to travel to a specific location, in lieu of allocating a certain amount of money to travel and seeing where that gets me.