Residential dwellings can be built in a large variety of configurations. A basic division is between the house/single-family home and the flat/apartment, but there are also many subdivisions, listed below. Some of the terms listed are only used in some parts of the English speaking world.
A shack is small, usually run-down building; they are not necessarily used as a dwelling.
Sears House: Sears houses were owner-built "kit" houses sold by Sears, Roebuck and Co. through its catalog division from 1906 -1940.
Brownstone: see Rowhouse
Colonial house: a traditional style house in the United States
Cottage: Usually refers to a small country dwelling, but weavers' cottages are three-storied townhouses with the top floor reserved for the working quarters.
Detached (Free Standing): Any house that is completely separated from its neighbours.
Bungalow: Single story house (not including optional basement)
Linked: Rowhouse or semi-detached house that is linked only at the foundation. Above ground, they appear as detached houses. Linking the foundations reduces cost.
Faux Chateau: (1980s - 90s) Inflated suburban house with non-contextual French Provencal references.
Mansion: Very large/expensive house
McMansion (1980s - 90s) Inflated suburban house with classicizing references.
Mewsproperty: A Mews is an urbanstable-block that has been converted into residential properties. The houses are converted into ground floor garages with a small flat above which used to house the ostler.
Rowhouse: (USA); also called "terraced home (USA); also called "townhouse"; ": 3 or more houses in a row sharing a "party" wall with its adjacent neighbour. In New York, "Brownstones" are rowhouses. Rowhouses are typically multiple stories. The term townhouse is currently coming into wider use in the UK, but terraced house (not "terraced home") is more common.
Split-level house: A style popular in the 50's and 60's.
Semi-detached: two houses joined together, often called a "duplex" in the USA.
Terraced House: Since the late 18th century is a style of housing where (generally) identical individual houses are conjoined into rows - a line of houses which abut directly on to each other built with shared party walls between dwellings whose uniform fronts and uniform height created an ensemble that was more stylish than a "rowhouse". However this is also the UK term for a "rowhouse" regardless of whether the houses are identical or not.
Back-to-back: Terraced houses which also adjoin a second terrace to the rear. They were a common form of housing for workers during the Industrial Revolution in England.
Townhouse: also called rowhouse (US). In the UK, a townhouse is a traditional term for an upper class house in London (in contrast with country house), and is now coming into use as a term for new terraced houses, which are often three stories tall with a garage on the ground floor.
Condominium: Separate residences with some common areas (see townhouse).
Duplex: Two separate residences, usually side-by-side, but sometimes on two different floors. The former often looks like two housesput together, sharing a wall (see semi-detached); the latter usually appears as a townhouse, but with two different entrances.
Garden Apartment: a building style usually characterized by two story, semi-detached buildings, each floor being a separate apartment.
Maisonette: an apartment / flat on two levels with internal stairs, or which has its own entrance at street level. Less used in the UK now that the term apartment is migrating into British English.
Tenement a multi-unit dwelling made up of several (generally four or more) apartments (i.e. an apartment building). In the United States the connotation implies a run-down or poorly-cared-for building.
Loft or Warehouse conversion: Trendy flats inhabited by bourgeois bohemian after gentrificationof an industrial area
Garage-Apartment: An apartment over a garage; if the garage is attached, the apartment will have a separate entrance from the main house.