Sometimes the most obvious answer to a question is the best one. As Mizzell explained, “The best way to get reviews is to ask for reviews. It sounds simple, but it works!” Mizzell warned that, when asking for reviews, “You need to be doing it in a way that is compliant with Amazon’s Community Guidelines and Communication Guidelines.”
One option is to use the Request a Review button in Seller Central. A benefit is that you’ll know the message will be compliant. The drawback is that this is a manual process, so you’ll need to do this for every order. The good news is that this same message can be sent through tools such as FeedbackFive, which will automate the process and offer additional helpful features.