ItemSlide.js is a jQuery plugin for a touch enabled carousel that works both on desktop and mobile.
Elastic Slider is a photo slider that is working on desktop and mobile browsers.
Bellows is a responsive, mobile-first accordion UI module for progressive disclosure on the web. Also Bellows supports jQuery.
Impulse is a library for building dynamic physics based interactions, with a focus on mobile web.
Rather than animating properties for a set amount of time, impulse takes a start position, end position, and velocity.
Yhere are some examples of this library such as Chat Heads, pulldownMenu, Inertia Scroll, Oridomi Cover, Bouncy Scrolling.
Swipe-li is a three pane swipeable element. Swipe right for accept, swipe left for reject.
Editable Listview is a jQuery Mobile Listview Widget that features an intuitive UI to allow insertion of new list items and removal of existing ones.
OWL Carousel 2 is a fully responsive and touch friendly carousel for jQuery/Zepto.
The Vibration API is an API specifically made for mobile devices as they are thankfully the only devices that have a vibrate function. The API allows developers to vibrate a device (in a pattern) for a given duration.
Slick is a jQuery responsive touch carousel that you'll ever need.
browserSwipe.js is a simple tool to allow for trackpad swipe events when you have disabled scrolling on your site.
iScroll can handle any element that needs to be moved with user interaction. It adds scrolling, zooming, panning, infinite scrolling, parallax scrolling, carousels to your projects and manages to do that in just 4kb. Give it a broom and it will also clean up your office.
Slip.js is a tiny library for interactive swiping and reordering of elements in lists on touch screens.
Supports iOS Safari, Firefox Mobile, Chrome Mobile, Opera Mobile.
Shifter is a jQuery plugin for simple slide-out mobile navigation. Shifter works by checking for target elements in the DOM and binding events to them.
interact.js is a powerful, flexible, snappable drag and drop, resizing and multi-touch gestures for modern browsers (and also IE8+)