Mickey Kay

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By default, custom post types and custom fields are not accessible via the WordPress REST API. REST API Enabler allows you to:
<ol>
<li>Enable the WP REST API for custom post types and specify WP REST API custom endpoints.</li>
<li>Choose which custom fields to include in WP REST API responses for posts, pages, and custom post types.</li>
</ol>
All enabled custom field data is included in the REST API response, nested under the <code>rest_api_enabler</code> key, like so:
<pre><code>[
 {
 "id": 179,
 "date": "2016-07-03T18:06:50",
 "title": {
 "rendered": "Test Job"
 },
 .
 .
 .
 "rest_api_enabler": {
 "custom_meta_1": "Value 1",
 "custom_meta_2": "Value 2",
 "custom_meta_3": [
 "Array value 1",
 "Array value 2"
 ]
 }
 }
]
</code></pre>
Note: prior to verion 1.1.0, all meta keys were included as top-level keys in the API response. Additionally, all values were returned as arrays, regardless of whether the original value was actually an array. This functionality is now deprecated as it risks key-name collisions. Please reference the <code>rest_api_enabler</code> top-level key instead.
<h4>Usage</h4>
<ol>
<li>Activate the plugin, then go to Settings → REST API Enabler in the admin.</li>
<li>Click the Post Types tab to enable/disable post types and customize their endpoints.</li>
<li>Click the Post Meta tab to enable/disable post meta (custom fields).</li>
</ol>
NOTE: by default, the plugin does not display settings for protected post meta (post meta that begins with an underscore and is intended for internal use only). If you wish to include protected post meta in the plugin settings, you can use the <code>rae_include_protected_meta</code> filter to do so. The following code can be placed in your theme’s <code>functions.php</code> file, or in a custom plugin (on <code>init</code> priority 10 or earlier):
<pre><code>add_filter( 'rae_include_protected_meta', '__return_true' );
</code></pre>

REST API Enabler

Enable the WP REST API to work with custom post types, custom fields, and custom endpoints.

Satoshi Yoshida

Will add the custom post type list view shortcode and widget.
Features 
Add custom post list view shortcode 
Add custom post list view widget

CPT List

Will add the custom post type list view shortcode and widget.

REST API Enabler vs CPT List