The law allows restrictions and does not list them — so the answer is always in the sector’s own legislation.
The Investment Law’s treatment of restricted sectors is a permission rather than a list. It provides that the legislation of Uzbekistan may, in accordance with the country’s treaties and the generally recognised principles and norms of international law, contain restrictions or a prohibition on foreign investment in certain spheres of the economy and in the protection of public health, animal and plant life, the environment, and the interests of national security. Which spheres those are is not stated. (Investment Law, Art. 46 — lex.uz ↗)
So the practical answer to "can a foreigner own a business doing X" is never found in this law. It is found in the legislation governing X, and — for most businesses a foreign founder is considering — in the licensing and permit regime rather than in any ownership rule. A separate provision prohibits investment in objects whose creation or use breaches sanitary, radiation, ecological, planning or similar requirements, or the rights of others. (Investment Law, Arts. 8, 46 — lex.uz ↗)
Accounting keeps the books and makes every filing on time, with monthly reports in English.
Part of the answer bank — 195 questions, each cited to the article it rests on.