I asked this once before (it was some other thread I think), but didn't get an answer, so I try again.
It was a VIC20 game, so we're talking about an old game here. It was kinda like a puzzle game, but not in a traditional way. Each stage is a one-screen maze where you (the character looks like a stick figure with two frames for movement kinda like the letter x as the other frame and the other frame had the hands in different position if I remember right) simply need to get to the exit. The catch is that there's an enemy which can go through walls unlike you, so you need to distract the enemy to get to the exit. Each level makes it harder as the maze gets more difficult to navigate through, and I'm not 100% sure, but I think at one point there's even 2 of the enemies in the later stages. I also remember that each stage had different colored walls. I've been trying to find info about the game everywhere but no luck so far. It could be that it was not a "professional" made game, but it sure felt like such back in the day.