What is the ruling on participating in popular entertainment topics found in forums, the apparent purpose of which is personality analysis by linking it to birth date or eye color, knowing that the answers consist of general human traits and that all of this is for entertainment and not out of belief in magic or astrology?

Personality analysis through birthdate is the business of astrologers, so it is impermissible to read these analyses, as it is akin to consulting them. Islamic law forbids believing them or going to them, except for one who intends to refute them. As for analysis through eye color, we have not found any evidence for its validity.