For the most part, parts are almost nearly identical. For my 2004, US made Camrys have a different bumper than the Japanese made counterpart. The US made one does not have the square pop out underneath the passenger headlight that the Japanese one does for the screw-in tow hook bolt. Also the US made bumper on the models without foglights (CE and LE) there are no provisions to add foglights at a later date, the bumper is moulded without the bracket tabs and holes. The Japanese made bumper has a pop out cover and the OEM foglight can be snapped in.
In general the two are nearly alike, but I will still give the nod to a Japanese made one based on my experience with the previous gen Camry.
Camry and Accords are both good cars. The Camry, and Toyotas, in general are pretty much made to be appliances, they do the job they are designed to do well. But Toyotas have no soul, other than to get you from point A to B without any fanfare. For excitement from A to B, other brands do better.