This is a interesting way to improve the game's challenge, particularly with the Great -gi hunts.
First, make a Long Sword (if it is your primary, then this challenge really is for you!)
Second, take on a Hunt quest for something that begins with the word "Great" and ends with "-gi" (for example, the Great Wroggi hunt quest.)
Third, win, but try to hit only the quarry's face with either thrusts or overhead strikes.