I have paid for a pre-purchase inspection twice. Neither shop showed me their checklist. They just wrote down anything they found wrong on a work order form. Both times, they pronounced the car to be in good shape, and for the most part, both cars were in good shape. I know they check compression, battery condition, transmission operation, look for bent wheels and evidence of poorly repaired collision damage. They look at brake condition and check oil and water for evidence of neglect.