Are there any types of surgeries or anesthesia, such as one-lung ventilation or coronary artery bypass surgeries, that residents feel like they don't get enough experience in at this institution?

This is an interview question you can ask the interviewer. This question is a more useful one than the typical 'what are residents' case numbers like?' since virtually every program has no problem getting their residents to do more than the numbers required. This question assesses any weaknesses in the program that may conflict with your goals. For example, a common response is that the program may not do some types of organ transplants.