Is there a travel website where you just put your departure city and it gives you options for last minute vacations from that city?

This seems like something that should exist – for when you suddenly have time off and want to take a last minute vacation and don’t care where you go, just somewhere awesome. Is there a place where you can type in just a departure city and then get a list of sunny beachy destinations that you can get good last-minute rates to from that city? I tried doing an internet search but found a lot of bad websites without good UI. If anyone has tips, would love to hear them – thanks!