Ionic
Advanced HTML5 Mobile App Framework. A beautiful front-end framework for developing hybrid mobile apps in HTML5. Best friends with AngularJS.
Onsen Ui
Custom Elements-Based HTML5 UI Framework for Building Your Mobile Front End
jQuery UI Touch Punch
A duck punch for adding touch events to jQuery UI
Pushy
Pushy is a responsive off-canvas navigation menu using CSS transforms & transitions
Shake.js
A custom 'shake' event plugin for mobile web browsers using device accelerometer.
Pointer.js
Pointer.js consolidates pointer-like input models across browsers and devices.
Pep
Pep, a lightweight jQuery plugin for kinetic drag on mobile/desktop
Fastclick
Polyfill to remove click delays on browsers with touch UIs
Brick
UI Web Components for Mobile Web Apps
Mobiscroll
The customizable HTML5 spinner/scroller control for touch devices like smartphones and tablets
Responsible
Responsible.js - Give visitors the choice of what mobile experience they want. Adds Toggle for mobile to desktop switching without page reloads
Jquery UI
The official jQuery user interface library.
Jo
Jo is a thin (~12K) candy shell for PhoneGap apps. It's an HTML5 mobile app framework which provides UI widgets, a flexible event model, a wrapper for sound, and a light data layer. Apps are skinnable with CSS3, and work everywhere PhoneGap does... and then some, including Adobe Air and OSX (desktop and dashboard).
Naver
A jQuery plugin for responsive navigation.
Media Check
Control JS with mediaqueries
Snap.js
A Library for creating beautiful mobile shelves in Javascript
Hammer.js
A javascript library for multi-touch gestures // You can touch this