USA is an example of a parliamentary government which does not have a parliament.USA has a presidential system,is a democratic and republican system of government where a head of government leads an executive branch that is separate from the legislative branch.
Myanmar and Nepal also do not have parliamentary government.
Myanmar: Assembly of the union,by an electoral college,elects the president who forms the cabinet of Myanmar.
Nepal:: Parliament of Nepal elects the Prime Minister,who by turn,appoints the cabinet of Nepal.