Pokémon Battle Revolution had an issue where certain effects (those that distort the camera) caused the entire screen to shift slightly.
This writeup mainly analyzes the psycho cut fifolog (from issue 12629, though the actual issue is described in issue 11875).
All of the effects work using indirect textures. First, the game draws the main environment (see ZPBR_Psy_base_new.png and ZPBR_Rain_base_new.png). Then, it makes an EFB copy, and clears the screen (but not the depth buffer). It then draws a second effect, which will serve as an offset to the screen (see ZPBR_Psy_indirect.png and ZPBR_Rain_indirect.png). This might be drawn in 3D space (as with the energy pattern used by Psycho Cut) or it might be drawn in 2D