What is meant by the perfection mentioned in the hadith: "Many men reached perfection, but none among women reached perfection except four," and are there perfect men in this era, or did perfection cease after the Prophetic and Sahabah eras?

The summary of the answer is:

The agreed-upon Hadith is: "Many men reached perfection, but no women reached perfection except Asiya, the wife of Pharaoh, and Maryam, the daughter of 'Imran. And the superiority of 'Aisha over other women is like the superiority of Tharid over all other food."

As for the narration "except four: Asiya, Maryam, Khadijah, and Fatima," it is odd (shadhdhah) and weak.

The meaning of perfection (kamal) is reaching the ultimate in piety, virtues, and good morals.

The women described as perfect in the Hadith are those from previous nations. This does not prevent the existence of perfect women in the nation of Muhammad, may Allah's peace and blessings be upon him, as many men and women reached perfection after the era of prophethood.