Category of Recreational vehicle

Travel trailer

Travel trailer also known as a caravan, a unit with rigid sides designed to be towed by some larger vehicles with a bumper or frame hitch.
Teardrop trailer a compact, lightweight travel trailer that resembles a teardrop Hybrid trailer a blend between a travel trailer and a folding (tent) trailer. One type has rigid sides and pull-out tent sections (usually beds) while another type's top section of walls and its roof can be lowered over its bottom section to reduce its height for towing.

5th wheel trailer

5th wheel trailer designed to be towed by a pickup or medium duty truck equipped with a special hitch called a fifth wheel coupling.
Park model This is a standard travel trailer that is not self contained. It is designed for park camping only, and while it is easily moved from site to site, as a normal trailer is (this is NOT a "mobile home") it is not capable of "dry camping" as it does not have any water storage tanks, it must be used with hookups.
Toterhome an uncommon term indicating a motorhome built around a semi truck chassis (such as a Freightliner). This type of motor home allows the pulling of large and heavy trailers.

Toy hauler

Toy hauler a motor home, 5th wheel or travel trailer, it is designed to be part living space, and part garage for storing things such as motorcycles and ATV's.

Another set of mainly North American-usage definitions:
Motorhome
Class A Motorcoach

constructed on either a commercial truck chassis, a specially designed motor vehicle chassis, or a commercial bus chassis.

Class B Campervan
built using a conventional van, to which either a raised roof has been added or had the back replaced by a low-profile body (compared to a Class C).

Class C Motorhome
built on a truck chassis with an attached cab section, which is usually van based, but may also be pickup truck based or even large truck(freightliner) based. They are characterized by a distinctive cab-over bunk. Also referred to as "mini-Motorhomes." The term "Minnie Winnie" sometimes is used in references to Class C motorhomes, originally coined by one of the founders of Winnebago Industries, Inc.