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

Great idea. The only sites I know that come kind of close is specific airline websites like Delta will have special deals from various cities and what you need to do is look at the list and find flights originating in your city. Although, Delta is rarely very cheap. I think American Airlines used to email me similar lists. Marriott emails me special deals also, or you can go to their site to see the deals. If your airport is a hub city airport, I recommend signing up for that airline’s deals to get email notices or look at that airline’s website. If Spirit airlines is in your airport they often have great deals. If you live near a port city that has cruise ships, cruises have fantastic last minute prices. Vacationstogo.com is great to surf cruises available.

Try Expedia. Pick the city you want to depart from and the type of travel need – for example, Hotel, Flight, Hotel + Flight, Cruise. Here is a link
http://www.expedia.com/p/multi-deal/last-minute.htm

Expedia is supposed to be good. Unfortunately for me I love Lake Placid. I have to make my arrangements in January for a July trip.

This site offers something like that for Canadian cities. I don’t know where you’re located, so it may or may not help you.

@BosM Expedia is kind of evil. I tend to avoid them on principle.

There is Last Minute Travel.

Ice Lolly does this for people in the UK.