Learn English – Peace among countries or between countries

This is a good place to use the lovely word gamut.

Houses in this neighbourhood run the gamut of colours from blue to orange to red.

As gamut means 'the whole scale or range' of a thing, you automatically include everything in between.

EDIT: To answer your edit, no, that just makes it sound like they vary between those three colours. You could say:

"Houses in this neighbourhood vary from blue to orange to red and everything in between."

Like all questions dealing with complex issues, the answer is very simple; it depends.

Geographically, any resident of the Asian continent, which is historically bordered by the Ural Mountains and Red Sea on its west side and by oceans to the north, east and south, is an "Asian"; they are a person of Asia.

However, in more common parlance the term tends to exclude Russia, what we currently call the "Middle East" including Pakistan, and the countries in the "Indian sub-continent" including India proper and other nations to the southwest of or in the Himalayan range such as Nepal, Bhutan, etc. This leaves primarily Mongolia, China, Southeast Asia, Japan, the Indonesian archipelago and most other Western Pacific Islands besides the Australasian islands.

This was not always so, especially in terms of India; during British colonial days, the Indian people and those in neighboring territories were termed "Asians". The two terms were at one point roughly synonymous, as the entire region from the Horn of Africa to Southeast Asia was once known as the "East Indies".