The phrase "make top head" can have a few different interpretations. If it means something like "reach the top of your profession," then some synonyms might include "excel," "succeed," "dominate," "achieve," or "climb the ladder." If it means "take charge" or "be a leader," synonyms could include "lead," "manage," "direct," "govern," or "boss." Alternatively, if it means something like "be the best," synonyms might include "outshine," "surpass," "stand out," "impress," or "distinguish oneself." Ultimately, the best synonym will depend on the specific context and intended meaning of the phrase.