jquery simple image slideshow tutorial -- http://stackoverflow.com/questions/12068734/jquery-simple-image-slideshow-tutorial -- Simple jQuery based image flipper, and a blog post about it: http://jonraasch.com/blog/a-simple-jquery-slideshow

http://bxslider.com/ -- much nicer - Appears to require jQuery 1.8.2

Fully responsive - will adapt to any device

Horizontal, vertical, and fade modes

Slides can contain images, video, or HTML content

Advanced touch / swipe support built-in

Uses CSS transitions for slide animation (native hardware acceleration!)

Full callback API and public methods

Small file size, fully themed, simple to implement

Browser support: Firefox, Chrome, Safari, iOS, Android, IE7+

Tons of configuration options

http://wowslider.com/index.html -- as in "WOW Slider" -- COMMERCIAL

http://www.itthinx.com/wunderslider/ -- COMMERCIAL

https://github.com/codrops/Elastislide -- "Elastislide is a responsive image carousel that will adapt fluidly in a layout. It is a jQuery plugin that can be laid out horizontally or vertically with a pre-defined minimum number of shown images"

http://jquery.malsup.com/cycle2/

http://sorgalla.com/jcarousel/ -- "jCarousel is a jQuery plugin for controlling a list of items in horizontal or vertical order. It provides a full-featured and flexible toolset for navigating any HTML based content in a carousel-like fashion."

http://www.hislider.com/index.html - Free for personal use, paid for commercial. Toolkit for building jQuery sliders. "Powerful WYSIWYG & Full-Customise APP that helps you create any jQuery Slider with no coding at all!"