Animate.css is the more common of the two in our index: it runs on 798 websites against 12 for Angular Material. Counts come from real scans, not vendor claims.
Angular Material is a UI component library for Angular JS developers. Angular Material components assist in constructing attractive, consistent, and functional web pages and web applications.
Animate.css is a ready-to-use library collection of CSS3 animation effects.
Want to know which one a particular site uses? Look it up and see its whole stack, or compare two sites side by side.