【Amenity】 and 【luxury】 both denote something (as an object, a feature, a quality, or an experience) that gives refined or exquisite pleasure or is exceedingly pleasing to the mind or senses.
【Amenity】 typically implies a delightful mildness, gentleness, or softness, especially in contrast to an uncomfortable or distressing harshness, roughness, or crudeness.
many English go to the Riviera in the winter because of the 【amenity】 of its climate
It may imply no more than a vague conducing to physical or material comfort or convenience.
every 【amenity】 . . . including... showers, central heating, and first-class cuisine —H. G. Smith
【Luxury】 stresses keen, often voluptuous, enjoyment and unalloyed gratification of the mind or senses, usually without a special suggestion of opulence in the thing enjoyed or sensuality in the pleasure.
and learn the 【luxury】 of doing good —Goldsmith
Mark decided to walk back by the road . . . instead of indulging himself in the 【luxury】 of once more rejoicing in the solitude of the green lanes —Mackenzie
a dressing room with a marble bath that made cleanliness a 【luxury】 instead of one of the sternest of the virtues —Shaw
