The Ones are composed of the Father, the Son, & the Daughter. The Skywalkers are composed of Anakin the father, Luke the son & Leia the daughter.
Are there any intentional parallels between the two in the Star Wars universe?
There are a few superficial similarities:
However, these are fairly generic characteristics. The second is a pretty common family structure, and the first is more or less guaranteed by the general focus of the Star Wars films. There are more (and more significant) differences.
The Daughter is a powerful Force user, the equal of the Son; Leia is an untrained Force Sensitive, and arguably not as strong as Luke.
The Son represented the Dark Side, the Daughter the Light Side, and the Father the Balance between them. Leia and Luke are both aligned with the Light Side, and Vader (the apparent Father analogue) flip-flopped between Light and Dark. This is entirely different from the dynamic among the Ones.
That said, while these apparent dissimilarities make me disinclined to interpret it in the specific manner suggested, there’s definitely something there. Dave Filoni’s commentary on the arc indicates that the events are meant to be broadly metaphorical of occurrences in “all six films.” It seems likely to me that the struggle between the Son and Daughter was meant to recall Anakin’s own internal struggle, but if any of the characters correspond to Anakin, it would be the Son (conflicted, falls to the Dark Side).
The Father and Anakin
In the Clone Wars, episode 15, series 3 Overlords we see Anakin arriving on the planet Mortis, where the One's live. The father reveals he is the only one who can keep the peace between his children- the son and daughter. He later states that, because he is aging, he wants Anakin to take over from him, as only the Chosen one could help maintain the balance of the force- from Mortis.
This could be seen as Anakin having parallels in ability and purpose to the father- both are the only ones who can maintain the balance of the force.
The Son, The Daughter and Luke and Leia
The Son and Daughter are both powerful force users, but on different sides of the force. The daughter is a manifestation of the light side, whereas the Son is of the dark side.
Luke is, very clearly, a Jedi, and therefore firmly set as a user of the light side of the force (see the events of the original trilogy, most notably Luke's declaration at the end of Return of the Jedi
Luke: I'm a Jedi, like my father before me.
In Bloodline, a recent novelisation about Princess Leia's life, describes a passage where she watches a hologram of herself murdering Jabba the Hutt.
Narrator: They were on the sail barge, and these were the last moments of Jabba the hutt's life... with a kind of awe, Leia watched herself slaying the heavy chains around Jabba's neck. The sheer strength it took to compress a Hutt's neck to the point of asphyxiation- she had summoned that from somewhere deep inside. Remebered doing so; but found it almost unbelievable to witness. Pure hatred had fueled her.
It is clear from this that Leia was using the dark side to assist her killing of Jabba.
However, this is a slightly weaker comparison that the clear parallels that can be drawn between Anakin and the Father, as Leia is technically only a force-sensitive.
Ultimately, I'd say that the parallels are: - Two siblings being on the "opposite sides" of the force (dark and light) - A father figure- literally the father of the children- who maintains control
Whereas the weaknesses in this/ differences are: - Luke and Leia getting along, working together, remaining allied etc., wheras all the "One's" children did was fight - Anakin's inability to influence/control his children as Darth Vader. [Trying to turn Luke to the Dark side]