How to make such an animation?

You have all the magic keywords in my reply - track mattes and masks. Of course it's extremely unlikely you can find a tutorial that rehashes the exact example you provided, but you can always learn the basic techniques such as in this vide:

https://www.youtube.com/watch?v=zkD6jItXCZY

I'm sure you can find a ton of others as well if you only commit yourself to it.

Mylenium

I haven't found any tutorial on how to do something like this. 😞

Just creative use of basic techniques like animated masks and track mattes to revela itmes and a bit of position, rotation and scale animation of the prepared imported graphics. Esy to learn by watching a few tutorials and reading the online help. It will just take time until you master the finer points liek animation timing so it actualyl looks elegant and cool.

After Effects User Guide

Mylenium

Si lo que necesitas es hacer las transiciones puedes comenzar aprendiendo a utilizar las máscaras en After Effects. Primero haces las maquetas en Photoshop e Illustrator y luego en After Effects con máscaras puedes generar esos efectos de transición.