I was fortunate to stumble across this game recently for the first time and have had a blast playing it! Although this game was only released on the Sega Master System and Game Gear, it really is a fantastic game!
In the game, you pick up items such as potions, weapons, and armor and battle your way through the forests to find the exit panel (a slab with a star on it). To attack enemies you simply press the arrow key towards them like you were trying to walk into them. If you last long enough, you might just find that your egg will hatch and you will have a dragon companion!
I’ve attached some gameplay below for you to watch.
