If you had an accident in a car that wasn't yours or insured the police were not called to the scene and no tickets were issued will this accident still show up on your driving record?

It will not show up, unless another person was invloved and they put a claim against you. If you do not report it it will not go on your driving record.

Answer2: Nothing will show up, but why risk your own life and the life of other people driving in an uninsured vehicle. This time you may get away with it, but what about the next time and you actually cause great injury to yourself or injure or kill someone else in an accident.