The electoral college is a mechanism used for these states to select a president (the only nationally elected office) in a representative manner.
Unfortunately, the modern interpretation of "interstate commerce" is roughly "any other powers they might care to have". The Tenth Amendment has essentially been superseded by the Commerce Clause since the New Deal.
US states were intended to be semi-autonomous regions which reflected cultural distinctions of residents inhabiting the original colonies. The different "flavors" of American culture have more or less persisted, even in today's mobile population there are still nuances that make the cultures of states unique.
That's wishful thinking. The President-elect has already announced reforms heretofore considered well beyond the President's legal authority.
The commonly-heard Republican slofan of "States' Rights" is only heard when Democrats are in power. (And likely vice-vers
Like slavery.
In contrast, in China it is difficult for rural workers to change their Hukou, and as such they are often stuck with major disadvantages even after they move. A rural worker in Shanghai might live as a second class citizen there for years, because they're not considered to be officially Shanghainese. This isn't the case in the U.S.
If it's the latter, it's not a sign of federalism - quite the opposite, in fact.
They can also have other languages designated as official on their territory, in addition to Russian, and implement an educational system that teaches those languages. They have their own constitutions, enforced by regional constitutional courts.
One particularly curious case is that of Tatarstan. It nearly declared independence in 1990 (some argue that it actually did - it made a "declaration of sovereignty": http://1997-2011.tatarstan.ru/english/00002028.html). In 1992, it adopted its own constitution on a referendum, which also described it as a "sovereign state".
Then, intense negotiations with the Russian federal government followed, which resulted in an 1994 agreement (https://view.officeapps.live.com/op/view.aspx?src=http://fao...) with an unwieldy title of "On Delimitation of Jurisdictional Subjects and Mutual Delegation of Powers between Bodies of Public Authority of the Russian Federation and Bodies of Public Authority of the Republic of Tatarstan". The constitution of Tatarstan was then amended with a curious definition of the federal arrangement as follows:
"The Republic of Tatarstan is a democratic constitutional State associated with the Russian Federation"
i.e. not a "member of" - although according to the federal constitution, it is a federal subject, same as any other. It also has some other special guarantees - for example, its borders cannot be changed without its consent. And the whole arrangement can only be amended by mutual agreement.
Of course, given the present state of affairs in Russia, it is unclear to what extent any of these theoretical political powers that federal subjects may enjoy are actually realized.