ithemelandco

Keep Your Site Looking Fresh: Automatically push your new Instagram content straight to your site to keep it looking fresh and keeping your audience engaged. 
Save Time: Don’t have time to update your photos on your site? Save time and increase efficiency by only fetch posts per #hashtag, Username and displaying them on your website. 
There are some Tempplates and Layouts for that, such as: Masonry, Grid, Wall and Carousel.
Check demo version: <a href="https://www.ithemelandco.com/Plugins/Social-Feed-Assistant/" rel="nofollow ugc">Pro Version</a>

iThemeland Social Feed Assistant – Lite

An Amazing plugin for manage your socials feeds with your own wordpress site.

mottodesignstudio

There are many Instagram feed plugins for WordPress available. Unfortunately, Instagram would rather users not embed their media feeds on external websites. Therefore there isn’t any official open API to do so and the unoffocial APIs are very error prone. Even if an API is working today, it will likely fail in the near future.
That’s why this plugin doesn’t embed external images. Instead it’ll sync your media library with Instagram by downloading them when available. If the API eventually breaks, the only side-effect is an out-of-date but still working instagram feed; as opposed to other plugins which will produce broken feeds while the authors work to update code to work with the breaking API changes.

Social Media Downloader

Download images from public social media accounts to your WordPress image library. A great way to embed Instagram posts on your site.

iThemeland Social Feed Assistant – Lite vs Social Media Downloader