When it comes to synonyms for the word "prime-ministerial," there are a number of different options to choose from. Some possible substitutes might include words like "statesmanlike," "diplomatic," or "executive," all of which suggest a certain level of political authority and responsibility. Other options might include words like "premiership," "presidency," or "leadership," all of which emphasize the role of the individual in charge of a country's affairs. Ultimately, the choice of synonym will depend on the specific context in which it is being used, as well as the tone and meaning that the speaker or writer wishes to convey.