The Odyssey minivan debuted in 1995. The first generation Odyssey was powered by a four-cylinder engine. It also was the first in its class of vehicles whose doors could be swung open like a car. It first came in the LX and EX versions. The LX version sat seven passengers, with independent front seats, a bench seat in the middle that seats three and a rear seat that also seats three. In 1998, the engine was redesigned to a 2.3 Liter VTEC engine. Despite the engine change, the market and most customers felt that its engine was not very powerful and as a result its sales suffered. The Odyssey was bought and used by the ISUZU Company for its collection of vehicles and renamed the OASIS.

The Second generation Odyssey hit the roads in 1999. The new model was bigger in size than its predecessor was. The back doors of the newly redesigned minivan slid open or closed, unlike the swing open fashion of the earlier version. It was powered by a six cylinder engine and an automatic four gear transmission. It was the first minivan to offer a seat that could be folded into the floor. In 2000, the vehicle got a navigation system that was linked to a Honda satellite. In 2002, it was redesigned with a five gear automatic transmission, airbags on the sides and disc brakes at the back. The transmission of the second generation Odyssey had some problems and the company changed the transmission at no charge to their customers. Honda also extended the vehicle warranty to 100,000 miles or 7 years, whichever came first.

Honda debuted the third generation Odyssey in 2005. The weight and width of the Honda Odyssey was greater than its predecessor. The engine of the new Odyssey was increased and it came in four models; LX, EX, EX-L, and Touring. The new Odyssey had glove boxes for both driver and the passenger sitting in the front seat. The transmission was now fitted to the floor unlike the earlier version where it was fixed to the Steering wheel.