The Araucana is a breed that was made using 2 breeds from South America, the Colloncas and the Quetros. One breed was tufted and tailed and the other clean faced and rumpless. Neither was a "breed" but they had traits used to create the Araucana. The Araucana can still have a tail, partial tail, a few stray tail feathers or rumpless. Rumpless is the standard so that is what is bred for. I have bred tailed Araucana's back when I was starting and using every Araucana I could get my hands on to create a more diverse flock, and ever since, I have bred towards the standard of perfection which is how the Araucana "breed" is recognized as a breed. The Araucana is more often clean faced than tufted. Not because of preference but because there are more chicks hatched that are clean faced than tufted. The gene responsible for tufts is lethal if a chick gets a gene for it from both parents. If the chick gets 2 tuft genes it dies. If it gets 1 tuft gene, it is tufted and if it gets no tuft genes it is clean faced. Tufts are not the same or even related to the Beard and Muffs of the EE or Ameraucana.
The Ameraucana and the Easter Eggers share some of that history but have differing standards. Because the EE is not recognized by the American Poultry Association, it is not considered a "breed" although hatcheries raise and sell them and have for many years. Most of those years they erroneously called them EE, Americana (mispelled) and Araucana ....sometimes using one breed name and sometimes calling them by all three names as if they were all the same.....which they are obviously not.
The EE may lay any color of egg from blue, green, brown, tinted and even pinkish. The Araucana and Ameraucana standard for egg color is blue but there is a range of shades for blue from a pale powder blue, sort of a lavender blue (I've never seen one) to a turquoise blue that can be greenish. The favored color in the Araucana is as blue as possible and it can be bred for. The brown egg gene on top of the blue egg is why they sometimes have a greenish tint. The standard simply states blue so anything in the blue range is acceptable, we all have our preferences. Hens even have different colors with age and season. I highly recommend the breed.