Great thread.
FTR, translating British-to-Murrican for the OP: "Terraced houses" are basically rowhouses; "Semi-detached" appear to be duplexes/twins/two-family homes (a style which is quite rare in the USA, though I actually rented a room in one back when I lived in West Philadelphia, one of the few areas where they can be found in abundance).
Patio homes (as they are called in the local real estate market) aren't too uncommon around here as starter homes. But that's only here in the metro core where it's essentially impossible to find a piece of land to plunk a mobile home on.