fame

infamy

character, mark, name, report, reputability, reputation, repute

cachet, place, position, prestige, rank, standing, stature, status

megastardom, popularity, stardom, superstardom

distinction, eminence, glory, greatness, honor, illustriousness, note, preeminence, prominence, visibility

acclaim, accolade, acknowledgment (or acknowledgement), homage, kudos, laurels, praise, recognition

adoration, idolization

credit, honor

celebrity, notoriety, renown

image, persona

admiration, regard, reverence