Enter The Chronosphere is a fast, furious yet laidback series of top-down shooting hamster mazes

Back in the late 90s when all of you NORMIES were playing Diablo, I was playing a little-known Konami ARPG called Azure Dreams, which has alas never escaped PlayStation prison. It's a grid-based, upwardly mobile roguelitey dungeon crawler set in a big tower, each floor a semi-randomised maze of monsters (which you can capture), traps and pick-ups, where player and creature actions happen simultaneously.

Effort Star's Enter The Chronosphere doesn't have grids or monster capturing, that I know of...