1) Harmonia (father: Ares)
Countless ancient accounts describe Harmonia as the daughter of Aphrodite and Ares, from her first appearance in Hesiod’s Theogony to Apollodorus’ Library, Pausanias, Aeschylus, Hyginus, and the like.
As far as I’m aware, there are 2 exceptions to this standardized parentage, most famously Diodorus Siculus, who claims that: “And while the Samothracians were living under a government of this kind, they say that there were born in that land to Zeus and Electra, who was one of the Atlantids, Dardanus and Iasion and Harmonia. […] [Cadmus] married Harmonia, who was the sister of Iasion and not, as the Greeks recount in their mythologies, the daughter of Ares.” He may have gotten inspiration from Hellanikos, who stated: “Hellan. fr. 23 informs us that Elektra, or Elektryone as Hellanikos calls her, dwelled on Samothrace and was known by the locals as Strategis. Her three children were Dardanos (also known as Polyarkes by the locals) who settled in the Troad, Eetion (also named lasion; blasted by Zeus for his outrage of the statue of Demeter), and Harmonia, Kadmos' bride (whence the Elektran gates in 'Thebes).' All of these details probably came from Hellanikos.” (Robert Louis Fowler, Early Greek Mythography)
However, as I said, these two seem to be the only exceptions.
“[Chorus:] Yet there is no disdain of Cypris in this our friendly hymn; for she, together with Hera, holds power nearest to Zeus, and for her solemn rites the goddess of varied wiles is held in honor. And in the train of their mother are Desire [Eros] and she to whom nothing is denied, winning Persuasion [Peitho]; and to Harmonia has been given a share of Aphrodite, and to the whispering touches of the Loves.”- Aeschylus, The Suppliants
“200 Scholiast on Hesiod, Works and Days
Sappho says Peitho, ‘Persuasion’, was the daughter of Aphrodite.”
The parentage of Peitho wasn’t standardized. She’s an Oceanid in the Theogony, daughter of Ate in a different Aeschylus play, child of either Dionysus and Koronis or Hera alone when Nonnus identifies her as one of the Graces in his Dionysiaca, and, surprisingly, a daughter of Prometheus according to Alcman. Still, it’s safe to say she’s associated with Aphrodite much more strongly than with any of those figures.
3) Beroe (father: Adonis)
We only find her in the Dionysiaca, I’ll quote a summary to be brief:
“The Romans are foreseen, and their establishment of universal empire and the rule of law and, the poem’s vision exceeding even that of the Aeneid, the empire’s shift of power and authority eastward with (skipping over any reference to Constantinople) the establishment of the law school at Beirut (Beroë), known in the empire as the “Mother of Laws” and a major player in Justinian’s consolidation of the Roman legal code. We hear about this from Nonnus immediately after the conclusion of the Indian war, when the epic poet turns to an encomium of Beirut, not just the oldest city in the world, twin sister of Time, the site where (not many people know this) Aphrodite first emerged from the sea before transiting to Cyprus, but also Dikês pedon, astu themistôn, the Land of Justice and City of Laws (the list goes on), and also home to the eponymous nymph Beroë, who was born to Oceanus and Tethys (or actually it was Aphrodite and Adonis), and whose beauty made both Dionysus and Poseidon fall in love with her and fight a great contest which is about to take two more books in the telling… by which point, and for far from the first time in reading and trying to think about the Dionysiaca, it has all started to seem— what’s the word?— goofy.” (by Gordon Braden)
Her only other attestation comes from Virgil’s Georgics: “Clio, too, and Beroe, sisters, ocean-children both, […]”, he goes for the Oceanus parentage.
4) Rhode (father: Poseidon/none)
“Praise the sea maid, daughter of Aphrodite, bride of Helios, this isle of Rhodes.”- Pindar, Olympian Ode 7
Herodorus traces her genealogy as the daughter of Poseidon and Aphrodite, while others say she is the daughter of Poseidon and Amphitrite.”- schol. Pind. Ol. 7.2 citing Herod. fr. 62
Other parentages of this figure can be found here.
Surprise! There is no Herophile daughter of Aphrodite. I’m disappointed too. This page almost drove me insane trying to track down the source. Turns out it’s this:
“Ποσειδῶνος καὶ Ἀφροδίτης Ἡρόδωρος γενεαλογεῖ παρ Ἡροφίλῳ”
“Herodotus makes her [Rhodos] a daughter of Poseidon and Aphrodite in Herophilus”
The same scholia I cited above. It seems, and I’ve checked this with others, that the people over at Theoi misread this and thought that Herophilus was another daughter, sister of Rhode.
5) The Charites (father: Dionysus)
“In this spring, the Graces bathe, who are known to be sacred to Venus; for they are the daughters of her and Liber. This is not without merit, for "graces" (favors) are generally won through the gifts of these two deities.”- Servius, Commentary on Virgil’s Aeneid 1.720
This parentage is an odd-one-out. See the others here
6) Meligounis (father: none)
“<Μελιγουνίς>· οὕτως ἡ Λιπάρα ἐκαλεῖτο νῆσος. καὶ μία τῶν Ἀφροδίτης θυγατέρων”
“<Meligounis> the island of Lipara was named thus. And one of Aphrodite's daughters.”
- Hesychius Alexandrinus s.v. Μελιγουνίς
Total: 8 daughters (if we count the Graces as their standard set of 3). However, I believe only Harmonia, Peitho and Rhode can be considered part of the canon of Aphrodite as a deity