What kind of anime is this? The male lead's face is injured, he wears a mask, and he has narcolessness.

Based on the information provided, it could be inferred that this was a setting in the Sword and Sword God's Domain. The scars on the male protagonist's face might have come from the battle in the game, while the narcolessness was related to the character Kirito. He was the main character in the game and also an online game player. Therefore, this was the plot of the Sword and Sword God's Domain.