Basement waterproofing can cost few thousand dollars for the french drain, the sump pump installation and the drainage membrane.

Older stucco was solid but not built with a waterproof membrane, so water gets behind it and then just rots everything out.

I'd go in to do finish work and find major flaws, like walls ridiculously out of square, grout over-watered to spread easily and setting up soft, or the flat surfaces of a shower window and niche not pitched properly nor the CBU sealed with a membrane.

In a small house, i would drop USG Tile Membrane and tile it, small easy and mice upgrade. here is a link to the membrane, no duraroc needed. https://www.usg.com/content/usgcom/en/products-solutions/products/performance-flooring/ancillary/usg-durlock-tile-membrane.html

Also apply the paint on rubber membrane before putting any tile or coriander.

There should be some type of valley flashing whether its metal or rubber membrane between the roof and the wall. 

You could add vinyl plank flooring with a rubber membrane in between that and the hardwood floors so it doesn't damage the hardwoods.C neighborhood-I would just replace the carpet with new carpet, but you could do the vinyl as previously stated3) a or high b neighborhood probably tile, mid b or lower vinyl plank flooring.

Vinyl and hardi will allow your flashing membrane to turn up the wall. 

Often times lightwells and roof membranes can be punctured by installations without the proper water proofing.

Bought a foreclosure with a wall that appears to be made up of 2x3 walls sandwiched together with some weird hard plastic membrane between them.