Well, these are minis for characters of actual players, so they're going to be as weird as those players made them. Which also makes this set more for the fans of the show than anything else. These are also the "high level"/"late campaign"/"winter wear" versions of these characters. (With a couple of exceptions for story reasons.)
Race & Class info for each of these characters:
Yasha Nydoorin: Aasimar Barbarian (Path of the Zealot)
Fjord Stone: Half-orc Warlock (Hexblade, Pact of the Blade) / Paladin (Oath of the Open Sea)
Jester Lavorre: Tiefling Cleric (Trickery Domain)
Veth Brenatto: Lightfoot Halfling Rogue (Arcane Trickster) / Wizard
Beauregard Lionett: Human Monk (Way of the Cobalt Soul)
Caleb Widogast: Human Wizard (School of Transmutation)
Caduceus Clay: Firbolg Cleric (Grave Domain)
Mollymauk Tealeaf: "Devil's Tongue" Tiefling Bloodhunter (Ghost Slayer)
Nott the Brave: Goblin Rogue (Arcane Trickster)
Huge story spoilers for Critical Role: The Mighty Nein
But here's some extra info on the characters that may explain some of the miniature design stuff:
Yasha Nydoorin: Originally a Fallen Aasimar, changes to a Protector Aasimar. The line down her lip and chin is a tattoo, though is usually portrayed thinner than on the miniature here. Her eyes are different colours due to heterochromia. Her hair was originally black, but would turn more and more white(like an ombre) as she struggled to get back up from her state as a Fallen Aasimar.
Fjord Stone: Starts as a Warlock, but renounces his patron and multiclasses into Paladin. Originally a sailor. Used to file down his fast growing tusks to appear more approachable to most other people.
Jester Lavorre: The offspring of a Tiefling mother and a Water Genasi father. Worships a god that turns out to actually be a powerful Archfey. A lollipop shaped Spiritual Weapon became one of her signature moves. The animal on her shoulder is a crimson weasel named Sprinkle that she keeps as a pet.
Veth Brenatto: Same person as Nott the Brave. Broke her curse and returned to her original halfling form. The markings under the eyes are a magical tattoo. The antlers are actually a very random reference Veth's player made to Keyleth, the druid PC for one of the other players in the first CR campaign. The flask on her hip is a magical "Flask of Perpetual Booze".
Beauregard Lionett: The symbol on her chest is the Seal of the Order of the Cobalt Soul, and can also be considered a symbol of the goddess Ioun, whom the Cobalt Soul worship. Beau is an Expositor among the ranks of that Order. The staff is a magical, silver quarterstaff named Belabor(very similar to a Staff of Power, minus the spells), and is based on how it looks in later official art of the character(where the staff doesn't match the item description), and with the caps/ends exaggeratedly thick.
Caduceus Clay: His staff is Blightstaff, but I think the shield design with the big gem is a Wizkids original.
Mollymauk Tealeaf: Has died and returned to life before joining the party. Dies again during the game. (New PC for that player was Caduceus Clay.) Got a big tattoo that covers a lot of their body. Later returns, and turns out to be the BBEG of the campaign.
Nott the Brave: Same person as Veth Brenatto. Originally a halfling, was killed by goblins and reincarnated as one of them through a curse. The markings under the eyes are a magical tattoo. Has a flask of booze on her hip.