Cool Big Sister: Subverted. This is how she tries to be towards the students at first with poor results. Starting to play straight in regards to Sasha who's first impulse on Michelle's return is to run into her arms, crying happily, and asking if she can stay with her. Michelle for her part, gestures for Sasha's boyfriend to scram.
By the second part of the first season, due to Character Development, she actually wants to avoid parts of this trope since she now sees herself as/is trying to be a responsible authority figure to the girls and a role model.
Non-Idle Rich: He was a "traveling shoe salesman" (more likely a sales representative) who owned a house big enough to include a dance studio, plus guest cottage, on seven acres of land, and owned and could afford to restore a vintage sports car.
Housewife: To some extent, whether out of enjoyment, loneliness, or both, she seems to really enjoy domestic duties such as throwing parties, lavish cooking, and tidying house. And she even seems to want to be a housewife. Almost to the point of Stepford Smiler territory (as her mother was) which creates an interesting combination of traits when combined with her rather snarky attitude since she also wants to protect herself from getting hurt.
Jerkass Fašade: Some of which comes from her family - Sasha's trying very hard not to end up like her mother and father.
Karma Houdini: She sneaks out of the house, comes home late and wrecks the roof of her mothers prized car trying to sneak back in. Her punishment? A spa day and a credit card. She does get yelled at by Michelle for stealing her shirt and coming in late to class but still not punished. She was still chastened because from past history she was probably expecting a rented limo and a date with Justin Bieber.
I think it's more a case of Adults Are Useless. The only reason she gets off scot-free is because her parents are too caught up in their own issues and don't want to deal with hers.
The Ditz: A mild case. She's not usually portrayed as outright stupid but she got military school confused with summer camp and didn't know that Boo's real name was Bettina even though they've been friends for years. She also thought The Great Gatsby had a whale in it. Rather ironic considering her actress participates in robotics competitions sponsored by NASA and JPL.
Kick the Dog: She and Ginny get one when they're really nasty to Carl.
Annoying Younger Sibling: Truly's sister Millie is her landlord who evicts her from her own dress shop for not paying her rent, much richer than her, and who was Hubble's girlfirend before Truly fell in love with him (and later Michelle).
Even the Girls Want Her: Playfully so - when Talia comes to visit, Truly and Talia end up hanging out together. Talia comments to Michelle that she wants one (of Truly). In another episode, her offer to adjust Michelle's pantsuit in the crotch is taken as the 'best suggestion all day'.
Rich Bitch: Thinks that people dislike her because they're jealous of her money as opposed to her personality. Then there's the time she evicted her own sister...
Screw the Rules, I Have Money!: Her basic MO, or some variation there of as she seems to think that being rich means she can get away with a lot of things. Unfortunately for Paradise, she seems to also be the landowner of half the town meaning they have to concede to her demands or be evicted.
This Is My Chair: Every episode she's in the dance studio she has sat in the same chair, which was even hauled upstairs so she could get a massage.
Villain with Good Publicity: Sort of. One of the reasons she supports Fanny and Michelle's amphitheater is so that she seems like a patron of the arts. Note that she only cares if people think she is; she doesn't actually have any interest in the arts herself.
The Casanova: Has fallen in love, married, and then fled multiple women/towns, usually in the course of a few weeks. Unlike many, he really does love those women as he believes in love at first sight. Of course, he also believes in love at first sight which is why he makes the poor judgement of marrying women after only knowing them for a week.
Dogged Nice Guy: Familial version. Despite the trouble his mother gets into constantly, he's always there to help her out even if it's really not the best idea. It's one of the reasons Michelle is estranged from their mother to begin with.