I forgot if it was mentioned, but do the characters have classes yet?
This is all entirely speculation, but we can identify specific FF class traits within most of the characters.
Noctis is a Red Mage, he is an all rounder jack of all trades.
From what we've been told, Noctis can use all magic and weapons, much like a Red Mage is able, but he isn't exactly proficient in their use like the other characters, he is a jack of all trades master of none, from the trailers comparing his magic and HP stats along with his physical damage output to the others, we can tell his magic skills are mid tier, his physical damage is mid tier and his HP is also mid tier, the only thing he has going is his high speed, he has a good balance between being ranged and close in combat, also to note, when swinging the Buster swords he has trouble swinging them and has to build momentum in the swing, unlike Gladiolus who swings his giant sword rather effortlessly.
Ignis is a Black Mage, highly proficient in magic and uses knives like a Black Mage does.
In the 2011 trailer we can see that Ignis has higher magic stats than anyone else in the party, more than Noctis too, he can use a long sword too, but the core thing here is his high magic stat, in his official character descriptions they mention he is of high intelligence, which in FF games intelligence is attributed to magic stats, along with his use of knives, which is one of the few weapons that Black Mages typically use, his use of throwing knives and his proficiency in magic would suggest he is better suited to be a ranged fighter, but he can fight in close combat, too.
Gladiolus is a mix of Monk/Berserker/Gladiator.
He fights bare fisted and in a typical boxing pose, much like Tifa, he deals high physical damage, the highest out of the party shown thus far, and has the highest HP shown, he is best suited to close combat, he has tribal tattoos and an imposing beast like physique, which is a subtle reference to the tribal wear that Berserker's usually have, and he also fights with giant swords like a Gladiator class is able to, also the obvious name similarity between Gladiolus and Gladiator is possibly a nod to this.
Prompto is a Gunner/Ranger, he only uses guns, and he only fights ranged, so he is a Gunner.
Cor is a Samurai, he is described as an honor bound warrior, he is known as the "Immortal Shogun", and he uses a katana in battle.
We haven't seen him in combat yet, but these three descriptions of him being "honor bound warrior", honor being something samurai live by, him being known as the "Immortal Shogun", which is a term commonly given to high ranking samurai warriors, and him using a katana, a weapon which samurai use, these all share obvious traits with the Samurai class.
These characters are from Lucis, so they dress as people from a modern city do, and not dictated by their class, their class would come from their weapons and combat abilities.
Stella is a Rune Fencer/Mystic Knight, she uses a rapier as her main weapon and had some runes cast behind her, which is all I can really go on.
Idola and the hooded man are Summoners, they are both wearing white robes and both have an insignia of a Summon beast that they can Summon on them, being Bahamut and Fenrir respectively.
The old man in the red/blue armor with the crown looks to be a general of sorts, as he is leading a group of Niflheim soldiers, in the mugshot lineup his face was shown as a counterpart to Ignis, who is a tactician for Lucis, which was somewhat implying that Ignis, the younger inexperienced Black Mage, will come up against this elderly man with a lifetime of experience, which possibly implies he is either a Scholar, a Magus or a Sage.
With Noctis being a Red Mage, that would also imply that Regis, the man who resembles him and his men are also all possibly Red Mages, as they have the same combat abilities as Noctis.
For the other characters that we haven't seen much of, it's even harder to tell, we don't know anything at all about the black haired woman, the man who resembles Cor, or the Red haired man.
But something I noticed, the Red haired man might possibly be a Red Mage too, again, this is simply speculation, but he was shown with a hat, he has red hair, and he had a feather on him too, as well as having long open cloak, which are some minor design elements typically associated with a Red Mage, can't go on anything other than those.
With that said all these characters aren't the typical rendition of the classes, but most of their traits lean to common elements with specific classes.
Oh, and the Dragoon woman is a Dragoon, which is the only one that is actually confirmed.