David Sadowski has posted an overview of some of the PHP frameworks out there to help you build REST APIs. Among those mentioned are things like Frapi, Laravel and Slim.
A number of articles on websites strive to give directions which framework(s) should be chosen whereas in fact there is no "one fits all" solutions for different purposes or technologies. Therefore, herewith a compiled list of some most popular and actively developed PHP REST API frameworks worth consideration and further evaluation on your project basis.
For each tool on the list, he includes a brief summary of what they are, some of the features they provide and a link to find out more about them. It's not really so much of a comparison post but more about putting them out there and letting you figure out which is the best.