Some animations and moving content can cause discomfort, nausea, and other physical reactions.
Animated media must not auto-play for more than five seconds. If you plan to have animations go on longer than five seconds or play on an infinite loop, provide a way for users to pause the animation. An animation that cannot be paused can be extremely distracting for people with different types of cognitive disabilities.
Animation that involves only non-moving properties, like opacity, color, and blurs, is more unlikely to be problematic.
I recommend reading the article Designing Safer Web Animation For Motion Sensitivity on A List Apart.
The developers should also take into account the selections the users have made in their operating systems. There are settings for reducing motion. I recommend that you stop all animations from users who have chosen to reduce motion.
Analytics show carousels are not very effective, and they pose many accessibility challenges.
I would recommend avoiding image carousels as much as possible. If those are designed, it's good to remember that developers must put in extra effort to make them at all accessible.