0 The Fool
I The Magus
Characters of the Magician Arcana are, as of Persona 3, typically the first male friend (and Social Link) of the protagonist, and are typically perverted male characters. They are often the right-hand men of the protagonist.
An ongoing theme that is related to all Magician Arcana Social Links is the tragedy that befalls the social link character related to their romantic interest.
II The Priestess
Individuals associated with the Priestess Arcana are usually quiet, reserved, and very intelligent. They are often modest and shy, and won't open up to the protagonist until much later in their Social Links as compared with other characters.
III The Empress
Within the Persona universe, the Empress Arcana often belongs to women of authority or wise and motherly figures.
IV The Emperor
Within the Persona universe, characters of the Emperor Arcana are often male leaders or father figures (or both). Often times, the Emperor character is troubled by something very personal, and doesn't know how to deal with it. Typically, the King of a mythological pantheon is of the Emperor Arcana.
V The Hierophant
Characters of the Hierophant Arcana are often older than the protagonist, and are typically quite wise and logical. The most common connection between Hierophant characters, however, is their association (and obsession) with the past.
VI The Lovers
A commonality among individuals of the Lovers Arcana is their popularity and their emphasis on social interaction. Lovers characters are almost always the "popular" ones, and almost always have a canon romantic interest in the protagonist.
VII The Chariot
Characters who are of the Chariot Arcana are typically very driven individuals, who have a personal goal that they aim to achieve at any cost. It is not uncommon for Chariot characters to be short-tempered or aggressive.
VIII Adjustment
Commonly, characters of the Justice Arcana are concerned with matters of fairness, and otherwise are very stoic individuals.
IX The Hermit
Similarly, Hermit Arcana characters share the commonality of placing themselves in situations that hide them from the public eye. Hermit individuals hide away from others or act in more supportive roles rather than putting themselves in the spotlight.
X Fortune
Bearers of the Fortune Arcana are usually individuals who are aware of their fates, and attempt to seize their own destiny in spite of their seemingly-locked fates. Thus, they are typically involved with making important choices and decisions.
XI Lust / Strength
A commonality between characters of the Strength Arcana is their strength of heart. Strength characters are not upset easily and typically portray the fortitude that the Strength card represents in readings.
XII The Hanged Man
Hanged Man characters are sometimes self-sacrificial, but are more often notable for being caught between two different extremes, parties or stages in life.
XIII Death
In recent games, characters of the Death Arcana are associated directly with death, but a commonality that connects all Death Arcana characters is the cycles of change they experience.
XIV Art
Characters of the Temperance Arcana are often struggling to find a balance in their lives and in their hobbies.
XV The Devil
Human characters associated with the Devil Arcana are often "devilish" individuals; they can be greedy, proud, lusty, or otherwise of poor character. It is not uncommon for Devil Arcana characters to have somewhat antisocial tendencies, often not caring much for the needs or well-being of others.
XVI The Tower
Human characters of the Tower Arcana can be arrogant, and typically find themselves in bad situations where they themselves have fallen from grace.
XVII The Star
Characters of the Star Arcana embody their arcana's traits of hopefulness and joy.
XVIII The Moon
Characters who are of the Moon Arcana are often similarly psychically-attuned, but a more common trend is their projection of their own fears and faults onto others (namely, the protagonist). They often tend to have trouble accepting themselves for who they are and, because of that fear, try to correspond to an ideal person.
XIX The Sun
Characters of the Sun Arcana almost always (ironically) find themselves in terrible situations, the situation betrays the underlying optimism present in nearly all of them.
XX The Aeon
A common theme for characters representing the Aeon Arcana is their attempts to fully understand themselves, as well as the world around them. In both of the Aeon Arcana's appearances, the Social Link characters in question were unfamiliar with the way the real world works, and struggled to discover their own place in this unfamiliar world.
XXI The Universe
While putting this together I decided that the social links are going to do either Two or Three things
1. To Minato it will provide either a bonus of some sort in combat when working together, or It will unlock a new non combat skill, depending on the social link. This is the one I'm iffy on.
2. To the other person it will stimulate the developement of abilities, accelerating the growth of existing abilities, stabilizing unstable powers, or even unlocking new powers that the person has the potential for. I am certain of this one.
3. At max the social link provides a new Persona from the world or mythology of the social link.