jQuery touchSwipe Carousel/Slider plugin is required for detecting swipe events on on touch input devices and falling back to mouse 'drags' on the desktop.
A tutorial about creating Multilevel Toggle (accordion) Responsive Navigation Menu using jQuery.
The multi-toggle responsive navigation on smaller screens is similar to nested accordions, the user touches primary level parent item to reveal list under it and when the screen is big enough vertical toggle menu changes to horizontal drop down navigation.
Slider Pro is a modular, responsive and touch-enabled jQuery slider plugin that enables you to create elegant and professionally looking sliders.
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.