Bumbling Dad: When it comes to Willie, Joseph generally is unsure of how to proceed. It's clear from early on his relationship with his son is strained, all the more so because he's preoccupied with Tamara. His brother calls him out on it several times, even basically taking custody of Willie when Joseph really hits bottom.
Papa Wolf: At least when it comes to Tamara. He will go to any lengths necessary to protect her. Somewhat Deconstructed in that it turns out she neither needs his protection nor wants it (since it's ruining his life and causing him to neglect her brother).
Sam Adama (Sasha Roiz)
Anti-Villain: Is a hitman, but sees his job as being part of the protection of the Tauron immigrant community on Caprica.
Friendly Neighborhood Gangster: Tauron immigrants treat him with respect and see the Ha'la'tha as protecting their interests from the Capricans who look down on them.
Less of an example if you noticed that Willie is too old and has the wrong eye color to be Bill (the latter being especially obvious because Edward James Olmos specifically had to wear blue contacts in his role as Bill Adama, so the different eye color obviously was kind of a major character trait.
Ensemble Darkhorse: In spite of only featuring prominently in two episodes (though her father's Angst about her is a long-running theme), she is one of the most popular characters in the series, almost solely thanks to her part in "There Is Another Sky," where she scores one of the series' first Crowning Moments of Awesome.
Genre Blind: Oh no, creating a sentient slave race of war robots isn't going to have any consequences up the line. Well, okay, yes it does, just a few. Psychologically torturing your already-estranged daughter who just happens to be inside the prototype of that race probably didn't help, either.
Mad Scientist: Crosses the Moral Event Horizon in his pursuit of beating Vergis in winning the Caprican military contract, performing twisted experiments on his daughter's virtual avatar even while insisting that she is his daughter and eventually creates a humanoid robot out of her.
Supreme Chef: How does Dan Graystone relax? He makes dinner.
Nice Girl: Would normally be Daniel's Morality Chain, were she not having an emotional breakdown over the fact that her daughter was a terrorist, being distracted by the ghost of her brother and Clarice's manipulation.
No Sympathy: Towards Zoey, initially. But Amanda remembers life before they were rich, and regarded Zoe as more than a little spoiled.
Anti-Villain: Thinks she is going to lead a benign religious mass-conversion.
Bratty Teenage Daughter: Lives in a mansion custom-designed to accommodate her claustrophobia, has just about anything she wants, her parents are busy but not hostile. Yet she behaves like an abused, neglected, child and acts out by joining a terrorist group. Zoe's sense of entitlement is especially stark when contrasted with Lacey, who apparently just lives with her alcoholic mother in a run down part of Caprica City.
Came Back Wrong: The avatar did not actually possess all of Zoe's memories. For example, she does not know what Zoe's plan for her was, or why Zoe didn't trust Clarice. This causes her to improvise dangerously.
Idiot Ball: Somehow never saw anything suspicious about the fact that her boyfriend's private V-World room was designed as a ruined city where the only intact building was a temple to the "One True God".
Hidden Depths: In order to help Joseph get over the death of his daughter, when his obsession with finding her avatar-copy in New Cap City was ruining his life, she disguised herself and entered the game to help him find Tamara. She found her first, and both agreed that it was for the best that Joseph not waste his life, after which Tamara killed his avatar to prevent him from going back. And this was all from someone presented (at first) to just be his secretary, albeit a loyal one.