Wikipedia and pet taxi
A pet taxi is a type of transportation taxi service that transports various pets. Some pet taxi services also provide pet ambulance, animal boarding and grooming services. Some pet sitting companies may also offer pet taxi services. Some pet taxis charge by the mile, while others may offer a flat rate for various trips. Less commonly, some pet taxi services may offer long-distance pet transportation, such as a trip from New York City to Florida.
Trip itineraries may include trips to veterinarians, pet sitting services, kennels and pet spas. Transportation to and from airports may occur because standard taxicabs may not allow pets. Clientele may include people who don't have time or a means to transport their pets.
Organized transport people to the airport
With air travel is currently used by a lot of people. This is because the employees of different companies need to move between the various branches, and many private individuals have family and friends even in the most remote parts of the world.
Therefore airports organize for its clients with different means of transport, which can be used both on the way to the airport and on the way from the airport to a private home or hotel. Available airport transfers also create the opportunity to transport luggage or several people in one vehicle. Information about such airport transfers can be found on the airport websites and on various boards of timetables.
Short definition of a taxi from Wikipedia
A taxicab, also known as a taxi or a cab, is a type of vehicle for hire with a driver, used by a single passenger or small group of passengers, often for a non-shared ride. A taxicab conveys passengers between locations of their choice.
This differs from other modes of public transport where the pick-up and drop-off locations are determined by the service provider, not by the passenger, although demand responsive transport and share taxis provide a hybrid bus/taxi mode.