Ayesh Karunaratne

Adds support for embedding Facebook and Instagram posts in Block Editor (Gutenberg) and Classic Editor. This feature was removed in WordPress core due to deprecation of legacy APIs WordPress core used.
Prior to WordPress 5.5.1, WordPress had support to embed Instagram and Facebook photos, videos, notes, quizes, etc in posts created with Block Editor and Classic Editor. However, Facebook removed this legacy API in October 2020, and this plugin implements the new APIs to bring back support for Facebook and Instagram content embedding.
Note that you will need to register a Facebook developer account and create an app to get API credentials that this plugin uses. There is no coding necessary, but an API key needs to be created and set for the plugin.
Detailed setup instructions are available in <a href="https://php.watch/articles/wordpress-facebook-instagram-oembed" rel="nofollow ugc">oEmbed Plus guide at PHP.Watch</a>
This project is not owned, endorsed, or otherwise affiliated with Facebook Inc. or Instagram LLC.

oEmbed Plus

As the title suggests, this is written beautifully and works perfectly.

No bloat.

On-screen links to where you need to go at facebook and documentation.

And the ability to define keys in wp-config make it great for multisite.

Works perfectly, and elegantly coded for MultiSite

Adds support for embedding Facebook and Instagram posts in Block Editor (Gutenberg) and Classic Editor.

Embedly

Enhance the default WordPress embedding to get previews for any article, 
including your own blog posts. You also get embeds for Gfycat, Twitch, Google 
Maps, and Embedly’s growing list of <a href="http://embed.ly/providers" rel="nofollow ugc">500+ supported 
providers</a>.
You can customize the style of the embeds, to optimize for darker WP themes, 
alignment, and width. In addition, social buttons can be added around the embeds 
to make it easier to share content from your blog posts.
If you have an Embedly Cards account, you can link it to the plugin with your Embedly API key. Not only does this remove branding from the cards, it also gives you access to analytics and viewer behaviors for most popular music and video player embeds (YouTube, Vimeo, Instagram, SoundCloud). Find out how many people viewed your embeds for how long. To learn more about Embedly Cards please visit <a href="http://embed.ly/cards" rel="nofollow ugc">our website</a>.
Using it is as simple as the default WordPress embedding. Embed media by pasting its URL in a single line when writing a post
The plugin automatically displays an embed of the media in the WordPress post 
editor (for WP 4.0+).
Fair Warning: This plugin generates static HTML content for your posts. After you deactivate 
the plugin, that HTML will still remain behind in all posts where the plugin was used to create 
embeds.

The Embedly Plugin extends Wordpress's auto-embed feature to give your blog more media types and style optons.

oEmbed Plus vs Embedly