PS2 ports that are actually different games?

I'm looking for a list of games that were released on multiple platforms, but the PS2 version is actually a completely different game from what other platforms got.
Need For Speed Hot Pursuit is probably the best known example of this happening, but it was most common around the start of the 7th generation, where publishers insisted on porting the latest releases to the PS2 due to it's large install base. Alot of these were cut down ports of the same game, such as the Simpsons Game and Test Drive Unlimited, but there are also games like COD World at War, where the PS2 version is a different game made by a different developer with the same title.
I can find lists of cross-generation releases, but none of them distinguish between these two different release types.

Does anyone have a complete list of these, or know a good way of building one?