Lower your criteria
Even with new cars, there are plenty of dealerships that are happy to part-exchange your old car so that you can get some money off the one that you're buying. Of course, the condition and value of the care that you're trading in will have a big impact on how much money you are able to shave off the price of the car. It's probably a good idea not to expect that you'll be able to cover all, or even most, of the price of the car. But, as the old saying goes, every little helps.
Of course, you don't have to choose only one of these options. Many people have found that combining some or even all of these options can help them finally afford that new car that they so desperately want.
** This is a collabortive post