Sequence.js is a fully-customizable and feature-rich jQuery slider plugin.
Among notable features of Sequence.js are support of multiple instances, non-JS fallbacks, responsiveness and touch support.
The documentation is well-written and includes sound advice on how to go about creating a customized gallery with Sequence.js.
Overall, Sequence.js is a better gallery than most in terms of customizability and features: for example, in the picture you can see icons used as representatives of slides. Awesome!