Come on guys, don't forget this baby:
AC Ace
Shelby/AC Cobra:
I would consider this one to be one of the more successful actual collaborations (British sports car body and American motor engineering), although only in retrospect. At the time it was a financial failure, which is why they only lasted until 1967 here in the States...
Too bad for me because now all the originals cost a fortune!
Oh, and just so everyone is on the same page:
Badge engineered (Rebadged) - Applying a different brand or trademark to an existing model of product (especially automobiles) and marketing the result as a "different model".
Platform Sharing - Platform sharing is different from rebadging, as an automobile platform may be used in many different ways and applications, such as using a single platform to produce and sell a sedan and a Sport Utility Vehicle. Two such products are different vehicles, whereas badge engineering involves the sale of essentially a single vehicle.
Joint Development - This is where two or more automobiles manufacturers develop parts simultaneously in order to produce one of more vehicles that share parts between them. Differs from the previous due to the automobile being designed concurrently (such as the BRZ/FRS).
For an example of collaboration, look towards NUMMI, the plant in Fremont owned by both GM and Toyota (oddly, now a Tesla factory). This is where the Vibe/Matrix was built.