Rich Cards are a new (May 2016) feature offered by Google, building on the success of Rich Snippets. They display content in a more engaging visual format, allowing for a better mobile experience on search result pages.
At the time of writing, Rich Cards are available for Recipe and Video content only.
JSON-LD for SEO does support Rich Cards - however, it does require you to use an additional (free) tool to manually add the additional metadata required by Rich Cards to your article or products.
If you think Rich Cards would be useful for your Shopify store, contact us to discuss your use case and we'll let you know how our app can be used to meet your needs.