Modern browser offers really good options these days to create much better user experience for sliders and carousels than existing libraries offer.
Swiffy Slider vs slick by Ken Wheeler opinions
Much more lightweight, hence performance is better
Swiper is the most modern free mobile touch slider with hardware accelerated transitions and amazing native behavior. It is intended to be used in mobile websites, mobile web apps, and mobile native/hybrid apps.
Touch enabled jQuery plugin that lets you create a beautiful, responsive carousel slider.
"THIS IS PRETTY MUCH DEAD, DO YOURSELF A FAVOR AND SWITCH TO tiny-slider", - official repo's readme say.
TouchCarousel is mobile-friendly and lightweight jQuery content scroller with touch navigation for mobile and desktop. May be used as carousel, banner rotator and image gallery.
keen-slider is a free library agnostic touch slider with native touch/swipe behavior and great performance. It comes with no dependencies, typescript support, multitouch support and is compatible with all common browsers including IE 10.