Character customization that has an effect of character dialogue is one of my favourite features in rpg, but unfortunately it's also a pretty rare one to find done well. The added time and cost of adding extra dialogue, especially if it's voiced, for all the various races/classes/choices tends to be an understandable deterrent in making things too diverse. Vampire: The Masquerade - Bloodlines is probably the game I've played that did it best, but since you're looking for a bit more variety than different flavours of human vampire (As distinct as they might be), that's probably not what you're hoping for.
Strategy games, grand strategy especially, tend to be pretty good in this regard. Galactic Civilizations 2 lets you play all sorts of weird races and the race editor gives even more variety to the point where you can play as a villainous race of evil squirrels (Actually one of the sub-species in the game) and in the Age of Wonders series you can play as all sorts of fun fantasy tropes. AoW3 even has a race editor where your hero changes the nature of your faction, meaning you can play as a faction of pure good religious zealot goblins or steampunk tank-driving Elves, which is nifty.
Solium Infernum is a fun little indie strategy game where you play as a lord of hell, recruiting the various forces of the abyss to your service which can be everything from your usual legions of minor demonlings and elite corrupt angels to mountains of gnashing teeth or monstrosity that defy easy explanation. Your character themself can also be everything from a lord of Gluttony, a fat smooth talking monster, to the red-horned buff half-goat you'd expect.
Strategy games, grand strategy especially, tend to be pretty good in this regard. Galactic Civilizations 2 lets you play all sorts of weird races and the race editor gives even more variety to the point where you can play as a villainous race of evil squirrels (Actually one of the sub-species in the game) and in the Age of Wonders series you can play as all sorts of fun fantasy tropes. AoW3 even has a race editor where your hero changes the nature of your faction, meaning you can play as a faction of pure good religious zealot goblins or steampunk tank-driving Elves, which is nifty.
Solium Infernum is a fun little indie strategy game where you play as a lord of hell, recruiting the various forces of the abyss to your service which can be everything from your usual legions of minor demonlings and elite corrupt angels to mountains of gnashing teeth or monstrosity that defy easy explanation. Your character themself can also be everything from a lord of Gluttony, a fat smooth talking monster, to the red-horned buff half-goat you'd expect.