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.
Brick
UI Web Components for Mobile Web Apps
Mobiscroll
The customizable HTML5 spinner/scroller control for touch devices like smartphones and tablets
Fastclick
Polyfill to remove click delays on browsers with touch UIs
Responsible
Responsible.js - Give visitors the choice of what mobile experience they want. Adds Toggle for mobile to desktop switching without page reloads
Pep
Pep, a lightweight jQuery plugin for kinetic drag on mobile/desktop
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