The phrase "most big-eyed" refers to someone who has large, open eyes that give the impression of curiosity or innocence. Antonyms for this phrase could include "slanted-eyed," "narrow-eyed," or "squinty-eyed." These terms imply a more cynical, distrustful, or guarded nature. Other antonyms for "most big-eyed" might include "jaded," "skeptical," or "world-weary," which suggest a person who has become disillusioned or cynical due to life experiences. Alternatively, someone who is "focused," "determined," or "goal-driven" would be antonyms for "most big-eyed," as they exhibit a different, more deliberate type of energy and purposefulness.