Well, I can name two! British airways and Monarch. I don't believe the major Middle eastern carriers charge you either. I am sure there are plenty more.
In the two UK examples given, they do not charge experienced pilots requiring a type rating, nor do they charge cadets who obviously require a type rating. Of course both are major TRTO's in their own right, and both have reputations for a strong employment ethic. This philosophy extends across the scope of their business. For example, both have a long history of apprenticeship programmes in their respective engineering divisions and both have recognised achievement awards for their excellence in training.