GM did it for years. However, part of it was when they bought vehicles from other manufacturers to fill a niche where they didn't want to invest time and money. Over the years, GM has rebranded cars from Suzuki, Daewoo, etc. Not to mention rebadging cars from their overseas divisions, like Opel and Holden.
GM used to be the master at it since they had so many different brands. The GM J-Car platform may have been the most infamous. It was basically cosmetically different cars sold as the Chevy Cavalier, Buick Skyhawk, Oldsmobile Firenza, Pontiac Sunbird/Sunfire, and Cadillac Cimmaron. There were others overseas. The Cimmaron was possibly the best selling Cadillac in history, but the one that brought down the brand by cheapening it.
Honda did it for the Passport. They wanted to get an SUV in the market quickly, and just paid Isuzu to rebadge the Trooper. Eventually they got their own designs on the market.