Aristotle - for science and philosophy, really this is more important than any politics or military, he did so much, that for centuries people thought that no more could be done

Alexandros - for military, but besides being great commander and so on, his empire joined three greatest western civilisations (Greek, Persian, Egyptian) and so he entered their history as a hero, conqueror or savior

Virgil - for art (I would rather write Homer, but as his existence is dubious...), artists were celebrities in all ages

unfortunately my knowledge about great Persian, Indian or Chinese people is limited, so I can't add someone from that regions, so take this as western nominations