1.14, 1.15, 1.16
This isn’t really a suggestion to change anything. τὰ γεννητικὰ ὄργανα is immediately communicative, and attested in Galen, but I had trouble imagining Plato saying it, and thought that there might be a more natural formation. Here is what I could find in the LSJ. I haven’t checked the Onomasticon. A number of these are more euphemistic/metaphorical. In neutral conversations though, I’d personally expect “τὰ αἰδοῖα”
genitalia:
τὰ αἰδοῖα, οἱ ἀναγκαῖοι τόποι, ἀμφίκαυστις, τὰ ἀφροδίσια, κένταυρος, τὰ ἄρθρα, γόνος, τὰ μήδεα, τὰ (γεννητικὰ) μόρια, παιδογόνος φύσις, ἡ χώρα, ἵππος, κτείς, ταῦρος
muliebria:
παιδοπόρος γένεσις, τὰ γυναικεῖα, γλωσσόκομος, δελφάκιον, δορίαλλος, Εὐρώτας, ἴκταρ, ἱπποκλείδης, κέλης, κῆπος, κνέωρον, κόκκος, κύσθος, λειμών, μηριόνης, μύρτον, πεδίον, πλατίστακος, ρόδον, σαβαρίχις, σάβυττα, σάκανδρος, σάραβος, σέλινον, σῦκον, τιτίς, ὁ τόπος, ὕσσακος, χελιδών, χοῖρος
virilia (membrum virile):
ἀνδρεία, ἐρέβινθος, καυλός, κέρκος, κωλῆ, ληκώ, μύκης, ὅπλον, πάσσαλος, πέος, πόσθη, ῥόμβος, ῥόπαλον, σάθη, σάννιον, σαύνιον, σαύρα, σχοινίον, σωλήν, τὸ τερμέρειον (dub.), τύλος, φαλλός, γονίμη φλέψ, ψωλή, περίνεος, κόκκοι