Brandon Hubbard

Hubbard Labs

This plugin enables logging of all calls to the WordPress REST API. You can view all logs from the WordPress Admin under API Log Pro.
<h3>WP-CLI Support</h3>
This plugin offers some basic wp-cli support. You can use the following command to delete all the logs in the db.
<pre><code>wp api-log-pro delete
</code></pre>

API Log Pro

A simple plugin to log WordPress Rest API Requests.

Ryuhei Yokokawa

Plugin will allow you to fetch the WP-API (WP-JSON-API) call with a “lang” variable. It will retrieve the right content from WPML/WP.
This only works with WPML and WP-API installed. I tested only with the latest version as of now: 
* WPML 3.1.9.6 
* WP REST API 1.2.1

WPML to WP API

Allows you to request a language with your WP-API and WPML site.

API Log Pro vs WPML to WP API