Anton Alatyrev

This plugin fully disables wp-json and oembed mixed up with REST API.

Disable REST API (wp-json and oembed)

This plugin disables wp-json and oembed mixed up with REST API

redcastor

Speed up wordpress rest api by filter loaded plugin for every route. 
On each rest api request wordpress load every plugins, this is a bottleneck and the rest api slow down. 
This plugin install a must use plugin for filter plugins before load to set only desired plugins load by route. 
The must use plugin is uninstall on desactivate the rest-manager plugin.
Features:
<ul>
<li>Disbale selected rest route.</li>
<li>Filter plugins load by rest route.</li>
</ul>

Rest Manager

Manage all rest api route. Disable or filter plugins loaded on request rest api.

Disable REST API (wp-json and oembed) vs Rest Manager