I am assuming that I have picked the inspector and know he is reputable.

I would be looking for water damage, checking the ceilings, and wall corners from ceiling to floor for water stains or fresh paint. Typically when you see water damage there is also mildew & Mold. Mold abatement can be very expensive.

I would want to know about the foundation, and support columns.  Are they stable, with no cracks or issues, as well as the roofs age, type and condition.  Lastly the plumbing, type of pipe, and are the pipes exposed fir easy access.  What is the water pressure and how well the sinks and toilets drain.  

I would be looking for the hidden big ticket items that would be deal breakers.