Highly mystic clans - Dragon, Phoenix, Scorpion
Semi-mystic clans - Unicorn
Low mystic clans - Crab, Crane, Lion
Highly Political Clans - Crane, Scorpion, Phoenix
Mix - Dragon, Unicorn
Highly Fighty Clans - Crab, Lion
High honor clans - Crane, Lion, Phoenix
Mid Honor Clans - Dragon, Unicorn
Low Honor Clans - Crab, Scorpion
Going over this, Unicorn is kind of hard to place on these charts because well... its theme just isn't particularly well unified except in the worst way to be honest. They are defined by a tool of war that all clans should be using.
You see... in truth basically all Samurai had horses, horses are what defined samurai. In a samurai game, every clan should have its cavalry and each clan's cavalry guys would be a bit different... or so you would think.
The guy who made the game... he somehow missed that (probably because a lot of what he understood about samurai came from the later era when they sold off all their belongings starting with the horse)... instead he made riding horses the exclusive domain of a single clan.
And that clan incorporates everyone you would expect to see on horseback from chivalrous knight types to raging Mongol raiders (and, yes, that family is Mongollian while everyone else in Japanese). And their main Kami family is probably the least well defined of any family, there are no real character traits that strongly associate with "Shinjo" beyond "they have a horse".
Much is made of them being "foreign" and having "foreign customs" though it should really only apply to a single one of their 4 families.
Anyway... that's what makes them so very difficult to place. They have both high honor families and low honor families, families that should be good politicians and families that have no mind or patience for politics, and while every clan has shugenja... Unicorn have their own extra unique mystical elements, its just that those elements aren't really terribly called upon frequently enough to say it is a strong factor in defining them.