This thing is Jikai Shounen Mettomag for the Famicom Disk System, a puzzle platformer by Sokoban creators Thinking Rabbit. Those arrows you see are magnets, and you can change your color between red and blue to change how you interact with them. Like on this screen, if you change to blue, that blue arrow will repel you, allowing you to get over that two block high wall, but that red bit will attract you, meaning you'll need to change back to red to get over the next wall. The execution is a bit jank, but it's an interesting game that doesn't play like anything else at the time.

Also, it has one of the stranger executions of gender selection in a game that I've seen. You can swap to a female character on the title screen by pressing select, but this doesn't just change your character: it changes the entire background tile set for all levels to make it girlier. Like the teleporter is replaced with a full length mirror.