One hidden cause of the "Epsxe Core Stopped" error is a corrupted save state. Section 3.16 of advanced troubleshooting guides notes that ePSXe attempts to load the last save state automatically if available.
Other programs might be interfering with ePSXe: Epsxe Core Stopped Check The Section 3.16
In RetroArch:
If you're using any plugins, try disabling them: One hidden cause of the "Epsxe Core Stopped"
Migrating to DuckStation is straightforward: transfer your BIOS, memory cards, and disc images, and you will likely never see "Section 3.16" again. and disc images