It is tough to do since you are looking for an older car. The banks look at loan to value ratio's. If you can come up with a sizeable down pmnt then they will look more favorably at giving you the money, but it is still going to be at a subprime interest rate.
Do you have bad credit or no credit?
Beware of a lot of scams that say bad credit is no problem you could end up paying even higher than the subprime rates.