Explanation of terms
Berlina	Another word for saloon car (F, I)
Berlinetta	Small saloon car (F, I) two-seater coupé
Barchetta	Door- and roofless racing car (Ital. small boat)
Break	Earlier: a very simple vehicle (1894 Peugeot Type 10), later: (French) estate car
Cabrio (-let)	Foldable roof, without a B-pillar, windows can be rolled down (French. cabriole = caper), roll-bar (also retractable) possible.
Caravan	Something between a normal car and a van, possibly similar to a camping mobile
Convertible	Open-top car with a canvas roof
Coupe	Saloon car mostly with a shorter wheelbase and, at least above the rear seats, a more level roof (French - coupé = cut-off)
Fastback	Similar to the coupé form with a relatively gently sloping rear-end, which often ends with a spoiler, does not always have a tailgate
Hardtop	Solid, detachable roof, for winter use instead of a canvas top
Hatchback	Sloping rear-end with a tailgate (US)
Homologation	Recognition by the racing sport union
Cross-country vehicle	For heavy-duty, with all-wheel drive and mostly a mechanical differential lock, chassis often similar to a truck
Kabriolett	German way of spelling Cabriolet
Convertible-saloon	Saloon car with a roll-up- or folding roof, with however, a narrow frame above the door-line
Landau	A saloon where only the rear section is closed in
Landaulet	Originally it was a special carriage, it then became the name for a convertible rear section, used mostly for representation purposes
Limousine	Completely closed-in car body, at the most with a sun-roof (lat. limes = limited)
Estate car (-saloon)	Hatchback saloon with a tailgate or a one- or two-piece rear door (US - station wagon)
MPV	Multi Purpose Vehicle
Phaeton	Actually, a four seater convertible
Pullmann	Originally was a manufacturer of railway carriages, now it's the name for saloon cars with an extra-long wheelbase (US - stretch limousine)
Roadster	Small, narrow, open two-seater, possibly even with detachable side windows, lightweight and not excessively high performance, very simple construction (see picture)
Saloon	Sedan (GB)
Apron	Body part below the bumper
Running board	Lower part of the door-sill from the front -to the rear wheel-arch
Sedan	Limousine (US)
Softtop	Canvas- synthetic roof for a convertible
Spoiler	A plastic part (rarely metal) which diverts (spoil = disturb) the normal air-flow to generate a downforce or to improve the aerodynamics
Convertible top-bow	Roof arch for strengthening
SUV	Sports Utility Vehicle, high-roof saloon car or, more than likely an estate car with cross-country ability, chassis similar to a normal car, not always with all-wheel drive
Targa	Convertible with a (mostly) broad roll-bar and removable solid roof panels
Torpedo	Long, open-top vehicle
Van	A sort of high-roof estate car with enough room for seven passengers, or as a front-wheel drive, with even more seats
Vis-a-vis	The first carriage-like vehicles, in which the passengers sat facing the driver