Pretty much every major foreign manufacture has a plant in the US. And all the Big 3 have plants in Canada and Mexico, too. In fact, just as many American cars are built in Mexico as Japanesse cars are built in the US. Many people are surprised when they discover where cars are built. It works in many ways. Honda imports cars to the US from not only Japan, but Mexico and the UK too.
-Chevrolet Aveo is built in South Korea
-Pontiac GTO is built in Australia
-Honda CR-V and Honda Civic Si are built in Swindon, United Kingdom
-Mercedes C-Class is built in Juis de Fora, Brazil
-Mercedes G-Class is built in Austria
-Mercedes M- and R-Class are built in Alabama
-BMW X5 and Z4 are built in South Carolina; the X3 is built in Austria
-Audi TT comes from Hungary
-Volkwagen Touareg is built in Slovokia
-Volkswagen Golf 5-doors come from Brazil; 3-doors come from Germany; Jettas come from Mexico
-Chrysler Crossfire is built in Germany
-Dodge Sprinter van is built by Mercedes in Spain as kit, then shipped to South Carolina where the parts are put together, basiclly like a puzzle. This qualifies it as a domestic car.
-Isuzu is a Japanese brand, but imports zero trucks to the US. All their products are built by GM in Ohio and Lousiana.
-Saab 9-2X is built by Subaru in Japan; the 9-7X is built in Ohio.
-Saab 9-3 convertibles are built in Finland, not Sweden.
-Most Honda Accords sold in the US come from Ohio, but some are imported from Mexico as well.
Among other popular Japanesse/Korean cars that are built in the US and Canada:
Toyota: Solara, Corolla, Avalon, Matrix, Camry, Sienna, Sequioa, Tacoma, Tundra
Honda Element, Odyssey, Civic, Pilot, Ridgeline, Accord
Acura MDX, TL, EL
Lexus RX
Hyundai Sonata
Nissan Xterra, Frontier, Titan, Armanda, Pathfinder, Quest, Maxima, Altima, Sentra (the only cars Nissan imports to the US are the Murano and Z)
Infiniti QX56
Subaru Legacy, Outback, B9 Tribeca, Baja
Mitsbushi Eclipse, Endeavour, Galant
Mazda 6
Most Japanesse car manufactures tailor cars to the US market. The Japanese market Honda Accord, for example, is so radically different that it is sold as the Acura TSX in the US. The Japanesse Odyssey still features swing doors and a is smaller, like the original one in 1995.