* Checker Cab (especially the Checker Marathon): This is probably the most iconic American classic taxi, known for its large size and distinctive look.
* Ford Crown Victoria: For a long time, this was the ubiquitous taxi in many North American cities.
* Various London Taxis: Historically, these have been purpose-built cabs, often black, with a lot of interior space. While many models existed, manufacturers like Austin and later the LTI FX4 (and its successors) are frequently associated with the "classic" London cab.
* Volkswagen Beetle (in some parts of the world): While not as widely associated with taxi service as the others, the Beetle served as a taxi in some areas.
So, the answer is highly context-dependent. To answer precisely, you'd need to specify the city and time period you're interested in.