So I know that sliders are bad and there's a thing called banner blindness and read couple of studies saying that people don't interact with them at all. However I'm working on an "About Us" page where the client would like to implement the idea of having a slider with qualities of the company. I proposed an idea to go with a simple animation instead like in this example. My question is which one is better for non-commercial use on a site without ads, banner or animation?
The "About Us" page on a website is a perfect section of a website to incorporate the views and goals of a company with the style of the page. I believe there is no 'best' with this but there is 'best/most suited'. I took a peek at your question history and I believe you have done your research regarding the goal(s) of the website.
What is the best here?
It has been proven that sliders do not work in most situations, it is mostly there to look pretty.
I believe your suggestion is a nice in-between, your boss wants to show multiple slides (I think it is because it 'looks nice' and fancy) and your suggestion looks nice as well.
My personal preference, without knowing more about the website will be an animation (for instance like the one you linked), mainly because in general they grab more attention then a static image/banner. Secondly they are important in the current webdesign trends (background animations / micro interactions etc.).
In a private, non-commercial environment, bereft of you being required to take responsibility for the user experience, and wherein the client has a specific desire/demand, the client is right. Every.Single.Time!
Bill him more hours if he changes his mind later.