What are the different ways to create a list of the players on a certain team?

Use game.Players:GetChildren(), run a check to see which team they're in, then use table.insert() to put their name/player in the Team's table. Beforehand, create X tables, for how many teams there are.

Example:

local blueTeam = {}
local redTeam = {}

while true do
    wait(30)
    local p = game.Players:GetChildren()
    for i = 1,#p do
        if p[i].TeamColor == game.Teams.RedTeam.TeamColor then
            table.insert(redTeam,p.Name)
        elseif p[i].TeamColor == game.Teams.BlueTeam.TeamColor then
            table.insert(blueTeam,p.Name)
        end
    end
wait()