The Avalon is available in Right Hand Drive. In Japan, it is called the Pronard. and in Australia, is still called the Avalon BTW, this car was never a replacement for the Cressida. The Cressida was essentially the Toyota Mark 2, which was later replaced by the Mark X. The Cressida saw declining sales in the US in the late 80's and early 90's. The Camry was introduced at the same time in the US. It was about the same size as the Cressida and was a less expensive alternative, hence it started to sell really well. Eventually, when the time came to introduce a newer model of the Camry and the Cressida, Toyota saw that the Camry was a big seller as compared to the Cressida. They decided to not import the Cressida but to 'invest' in the Camry.
If you go forward a few years, Toyota saw that there was a market for a larger car than the Camry, the Avalon is an extension made to compete with the Buick, Chrysler and other larger American cars in the US and Holden, and Fords in Australia. Since the Avalon is mainly for the American and Australian market, it does compete very well in it's vehicle size of the market.