Small, fast, awesome. The only ES5-ish set of polyfills (shims) you can mix-and-match because they're individual AMD modules.
A better way to use localStorage and sessionStorage
CSS Parent Selector
CSS4 parent selector based on jQuery
Tiny polyfill for the placeholder form element attribute. Requires Prototype.js.
A lightweight engine that allows you to hitch new capabilities to the browser (prollyfill).
A fast & lightweight polyfill for min/max-width CSS3 Media Queries (for IE 6-8, and more)
An Asynchronous Conditional Resource Loader
Allows for automatic Image fallbacks for browsers that can't handle SVGs
Legacy support for the CSS3 Flexible Box Model
A behavior for Internet Explorer allowing it to recognize and render various CSS3 box decoration properties
Tired of adding prefix for each broswer when it comes to the new css3 attributes?
This script is the defacto way to enable use of HTML5 sectioning elements in legacy Internet Explorer.
JS string formatter that supports objects, currency, date/time, decimals, and more supports easy extension and garbage collection ... goes far beyond sprintf approach.