Any Help? Trying To Change Brickcolor Of A Model?

A better way to write this could be in many ways:

A simple one time coloring:

local player = game:GetService("Players").LocalPlayer
player:WaitForChild("Character").Torso.BrickColor = BrickColor.new("Really red")

or a on join module:

local player = game:GetService("Players").LocalPlayer
game:GetService("Players").PlayerAdded:connect(function()
    player:WaitForChild("Character").Torso.BrickColor = BrickColor.new("Really red")

or a module to change the color when it's changed:

local player = game:GetService("Players").LocalPlayer
local wfc = game.WaitForChild
local char = wfc(player,"Character")
char:FindFirstChild("Torso").Changed:connect(function()
    if char.Torso.BrickColor == BrickColor.new("Really red") then
        --still red bro
    else
        char.Torso.BrickColor = BrickColor.new("Really red")
    end
end)

You've made a typo. You do not need game.LocalPlayer to direct it to the player since you've already made it local, AND there's no child of game named LocalPlayer. The right way to do it is just simply LocalPlayer. Here's the fixed version

local LocalPlayer = game.Players.LocalPlayer 
local Torso = LocalPlayer.Character.Torso
Torso.BrickColor = BrickColor.new("Really red")