InstaLink is an Instagram widget which allows you to display photos from an Instagram account or by tag on your website. It’s responsive, flexible, user-friendly Instagram widget with most needed features.
Source: InstaLink on CodeCanyon
Pongstagr.am is a jQuery plugin that lets you display your Instagram media to your website using Bootstrap Front-end styles and modal-plugin.
Source: Pongstagr.am on GitHub
Instagram Slider Widget
Instagram Slider Widget is a responsive slider widget that shows 24 latest images from a public Instagram user.
The Alpine PhotoTile for Instagram
Retrieve photos from a particular Instagram user or tag and display them on your WordPress site using the Alpine PhotoTile for Instagram. The photos can be linked to the your Instagram page, a specific URL, or to a Lightbox slideshow. Also, the Shortcode Generator makes it easy to insert the widget into posts without learning any of the code. This lightweight but powerful widget takes advantage of WordPress's built in JQuery scripts to create a sleek presentation that I hope you will like.
Developer's Note: This plugin is no longer being developed or maintained. If you are a WordPress developer, I encourage you to take this plugin and make it your own.