Carousel has been a great user element to present content. Though a carousel is not compliant with accessibility, it's still a very popular way to catch user attention and organise content in an attractive way.
Here is the list. Enjoy!
Mobirise is a standalone application, available for both Mac and Windows. You can design your website and carousel even though you don't have Internet access. And most importantly, it's a free application.
Bootstrap TouchCarousel's main aim is to create a mobile friendly responsive carousel. It uses hammer.js to enable gesture on touch devices. It's designed for Bootstrap 3 and the only bad about this is - the repo is no longer maintained, but it will still work alright.
Bootstrap CSS Slider application allows you to customize the slider - you can choose different button designs, slider behaviors, animations and etc. You can create 30+ different sliders with the app alone.
SevenX has a great collection of different sliders and carousels that are built using Twitter Bootstrap. You can see all the familiar bootstrap components being converted in slider/carousel. It doesn't have some sort of generator, you will need to get dirty and implement all the codes.
This is a tutorial to show you how to spice up your Bootstrap slider by using CSS3 animation library called Animate.css. This tutorial will guide you from the beginning until the end, you will get a nicely done CSS3 animation on each slide. Check out the demo in end of the tutorial.
Here is another tutorial that demonstrates 3 different carousels created with Bootstrap. The first one is the standard carousel with crossfade animation transition. The second carousel will rotate through a group of items. And the last one is a full screen background slider. With all these 3 carousels, you can intergrate it easily into your Twitter Bootstrap powered website.
Just like Bootstrap Carousel Builder, It's absolutely FREE too.