The Warrior:
Skills: One-Handed/Two-Handed/Heavy Armor/Smithing/Block
Recommended Race: Nord; Imperial; Redguard; Orc
Recommended Religion: Akatosh/Talos
Armor: Heavy
Stone: Warrior

The Mage:
Skills: Destruction/Conjuration/Alteration/Enchanting/Alchemy
Recommended Race: Altmer(High Elf); Breton
Recommended Religion: Julianos
Armor: Robes
Stone: Mage

The Thief:
Skills: Sneak/Lockpick/Pickpocket/Light Armor/One-Handed
Recommended Race: Khajiit; Argonian; Bosmer(Wood Elf)
Recommended Religion: Any
Armor: Light
Stone: Thief

The Assassin:
Skills: Sneak/Light Armor/One-Handed/Pickpocket/Lockpick
Recommended Race: Khajiit; Argonian
Recommended Religion: Stendarr/Sithis
Armor: Light
Stone: Shadow

The Archer:
Skills: Sneak/Light Armor/One-Handed/Archery/Smithing
Recommended Race: Bosmer(Wood Elf)
Recommended Religion: Hircine
Armor: Light
Stone: Thief

The Bard:
Skills: One-Handed/Alchemy/Alteration/Speech
Recommended Race: Imperial
Recommended Religion: Any
Armor: Clothing
Stone: Lady

Feel free to share some more!

Weapon Master/ The Red Deadra

Skills: One-Handed (dual wield)/ Smithing/ Archery/ Heavy Armor
Race: Redguard
Armor: Deadric
Stone: Lady, Lord, or Warrior
Shouts: Elemental Fury, Whirlwind Sprint, Become Ethereal, Unrelenting Force

This is just the character I use and remake the most.