The Outer Space Treaty of 1967, according to Wikipedia is ratified by any country with a chance of getting there - Article VI Makes each member country responsible for it's citizens actions.
States Parties to the Treaty shall bear international responsibility for national activities in outer space, including the moon and other celestial bodies, whether such activities are carried on by governmental agencies or by non-governmental entities, and for assuring that national activities are carried out in conformity with the provisions set forth in the present Treaty. The activities of non-governmental entities in outer space, including the moon and other celestial bodies, shall require authorization and continuing supervision by the appropriate State Party to the Treaty. When activities are carried on in outer space, including the moon and other celestial bodies, by an international organization, responsibility for compliance with this Treaty shall be borne both by the international organization and by the States Parties to the Treaty participating in such organization.
There are multiple opportunities, for non-citizens to ride with another nation to space.
As of 2013, has a citizen of a country who has not signed and ratified the treaty, made it to orbit?