Pointer.js
Pointer.js consolidates pointer-like input models across browsers and devices.
Tabris Js
tabris.js - native apps in JavaScript
Responsible
Responsible.js - Give visitors the choice of what mobile experience they want. Adds Toggle for mobile to desktop switching without page reloads
iScroll
Smooth scrolling for the web
Pep
Pep, a lightweight jQuery plugin for kinetic drag on mobile/desktop
Slidebars
Slidebars is a jQuery framework for quickly and easily implementing app style off-canvas space into your website.
jQuery UI Touch Punch
A duck punch for adding touch events to jQuery UI
Device.js
Device.js makes it easy to write conditional CSS and/or JavaScript based on device operating system (iOS, Android, Blackberry, Windows, Firefox OS), orientation (Portrait vs. Landscape), and type (Tablet vs. Mobile).
Hammer.js
A javascript library for multi-touch gestures // You can touch this
jQuery Mobile
jQuery Mobile Framework
Touch Swipe jQuery Plugin
TouchSwipe is a jquery plugin to be used with jQuery on touch input devices such as iPad, iPhone etc.
Bootstrap Touchspin
A mobile and touch friendly input spinner component for Bootstrap 3.
Ratchet
Prototype iPhone apps with simple HTML, CSS, and JS components.
Fastclick
Polyfill to remove click delays on browsers with touch UIs
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).
Slideout
A touch slideout navigation menu for your mobile web apps.
Swipe
a lightweight mobile slider