Besides those things others have already mentioned another thing I would be concerned about with older homes, especially those built prior to the 1940's, is does it have any insulation inside all the exterior walls, and if so, what kind and how much. While it's usually not too difficult or costly to add insulation above the ceiling and below the floor, adding it behind the walls can be a very different matter.

It also can be hard to tell with older houses that have been remodeled just what deficiencies may have been covered up to save money, time and work. Sometime you may even be dealing with multiple partial remodeling and/or room addition jobs spread out over a good number of years by several previous owners.

Relatively inexpensive "eye-catching" aesthetic improvements can add "wow" factor where as correcting more serious deficiencies can get very expensive and add extra work without adding much, if anything, to the overall aesthetic appearance.

Most homeowner's or house flipper's have limits to how much they can or are willing to spend on a remodeling job and often times are more concerned with being able to see and show off to others the attractive changes and upgrades.