I made this PSX style animation in Blender. To achieve the PSX style I made all my textures smaller than 200px and contain less then 16 colours as this was common practice for making games on the PS1 because of the hardware limitations.
To improve this animation I could change the lighting as for the animation I used pre-made light sources to light the scene up but the PS1 couldn't handle lighting so back then each object was vertex painted on with highlights and shadows to achieve the illusion of a light source being present. Next time I could vertex paint instead of using light sources to make my PSX style even more accurate.
Here linked is a patreon post around "An Overview of PlayStation Aesthetics" it is a good read if you are interested about this topic. https://www.patreon.com/posts/overview-of-49375996