Which of the following are two of the most common breeds of meat rabbits in America?

The most appropriate choice is based on the popularity and practicality of the breeds within the meat rabbit classification in America. New Zealand rabbits are highly valued for their meat production due to their rapid growth rate and good meat-to-bone ratio, making them a favorite among rabbit breeders for commercial meat industries.

Satin rabbits, while known for their unique coat and show qualities, also have the versatility to be raised for meat. They are less common than New Zealand but still play a significant role in certain breeding programs focused on meat production.

In contrast, while Flemish Giants are indeed large and can be raised for meat, they are not as widely recognized for this purpose compared to New Zealand and Satin breeds. The Hyperion breed mentioned has limited recognition and isn't established as a common meat rabbit breed. Additionally, the Californian breed does compose a significant portion of meat producers, but pairing it with the Dutch, which is primarily a show breed, does not align with the typical meat production focus.

Thus, New Zealand and Satin stand out as common choices in America for practical meat production, affirming their selection in this context.