After using views slideshow and jCarousel (and not so happy the way they work, mostly in theming department) there are new players in town and they are even responsive. Also easy to theme and easy to setup.
https://drupal.org/project/flexslider
https://drupal.org/project/owl-carousel
Flexslider is great for slideshows, they can even pull carousels but for great responsive carousels use the owl carousel. Just a note, owl for drupal is pretty beta, so you will need to use dev version and also use jquery update 1.8 version, otherwise you may end up with empty space in place of carousel.