If you have a used car that you want to sell on your own, you can do so without worrying about any potential liability issues. When you sell a car on your own, you are responsible for the legal paperwork, which would be the bill of sale. Since this is your legal paperwork, the bill of sale form is what you use to list that the car comes with no warranty. As long as you and the buyer sign this document, you are under no warranty obligations for the buyer.
List your car for sale in your local newspaper or some online car sale sites, such as Sell My Car, Cars Direct and Auto Trader (see Resources). Prices to do so vary. In the text for the ad, disclose any problems with the car.
Show your car to potential buyers when they contact you to see the vehicle. Typically, interested buyers will want to test drive the vehicle.
Complete a bill of sale form to legally complete the sale. You can create your own form or buy one. Make sure that you use a bill of sale form that expressly states that the car is being sold in its current condition with no warranty offered. Usually this is listed as "As-Is" condition on the bill of sale form. You and the buyer both must sign the bill of sale. A copy should be made of it for you, and the buyer gets the original.