Well now, here's the funny thing. If you walk into a British casino you will, more often than not, see the roulette table designated as 'American Roulette'. What makes it American is that it uses different coloured chips for each player at the table so that their bets can be told apart. It is in fact British (see below)
Americans like to play roulette with a "00" and a hefty edge against them. The wheel has the normal numbers from 1 to 36 in alternate red and black colours with a green zero and also their 'double zero', also green. Therefore the game has a total of 38 numbers to bet on. The edge against the player is large and consequently the game is not nearly so popular there. Tipping the croupier for a good win is also a tax on top of the house vig. Ouch!