Important Haircut: She gets a short haircut when she's running for President in season 3.
Informed Ability: Supposedly a politician of some repute, but with a habit of gaffes, yet on the show she appears to be clueless, surrounding herself with an even more clueless staff, and being unable to effectively engage in the kind of small talk with voters that real politicians do all the time.
Law of Inverse Fertility: As a middle-aged, divorced politician, the last thing she wants is another child, so of course she gets pregnant after having unprotected sex one time.
Mistaken for Racist: In "Chung", Selina is mistakenly informed that Danny Chung, the Chinese American governor of Minnesota was not born in the U.S., so she says on Meet the Press that Chung can't run for President, because he's "technically not an American".
No Party Given: Selina's party is never named, though the issues she stands for seem to be vaguely liberal, suggesting that she's a Democrat.
Power Hair: She gets a short haircut when she's running for President in season 3. Louis-Dreyfus (who wears a wig for the role) said that her own hair "does not look like hair that‘s inside the Beltway".
Slave to PR: Selina's stance on any issue will be determined by what impression it will have in the media.
The Unfavourite: To the administration. In season 1, her main project is a "clean jobs" bill, which she eventually has to veto personally, when the President pulls his support. In season 2, the President gives her a more prominent role in foreign policy, only to throw her under the bus when a major scandal comes along.
Unsympathetic Comedy Protagonist: Selina is selfish, shallow, amoral and incompetent. She does not seem to have any political convictions; all she cares about is how she appears before the voters.
"I am in a room with three people and a fuckload of quiche".
The long-suffering Vice Presidential Chief of Staff. Played by Anna Chlumsky.
Manipulative Bitch: Her msnipulations in "Special Relationship" result in Dan having a nervous breakdown and losing his position as campaign manager, with Amy getting the job.
Married to the Job: Work seems to be much more important to Amy than her personal life. She didn't even know about her one-year anniversary with her boyfriend until he told her. Even then, she didn't care, because she had something urgent to do.
Establishing Character Moment: Burns his hands holding VP Meyer's hot coffee cup while she has an idle conversation. He'll go on to do similar things in later episodes.
Gosh Dang It to Heck!: As opposed to pretty much everyone else on the show, Gary almost never uses profanity. An example of the contrast in "Nicknames", when he and Amy tell Selina about the unflattering nicknames bloggers gave her, and he brings up VPILF:
Gary: You know what that means? Vice President I Would Like to, you know, fool around with.
Hypercompetent Sidekick: Seems to know everything about everyone in the Washington DC political scene, including his boss. This is very useful to Selina. Has pretty much no knowledge of policy, but that's not his job.
I Take Offense to That Last One: While playing devil's advocate, Dan predicts that Selina's policy will destroy America, capping it off by saying that she'll become so infamous that no one will ever name their child Selina again. After a stunned moment of silence, Gary says, "My God... no more Selinas?" He's immediately shushed.
"I'm from the White House, and what the fuck are you doing?"
The White House Liason to the Vice President's office until season 3, when he gets fired, and a notorious(ly bad) womanizer. Played by Timothy Simons.
Brick Joke: His obsession with getting laid by Eights.
Butt Monkey: He is hated by pretty much everyone in the Vice President's office. And the Administration. And the District. And possibly in the world.
Casanova Wannabe: Hits on Amy, Sue and pretty much everyone girl he comes into contact with. Always rebuffed.
Fun with Acronyms: Does this incessantly. Calls the President POTUS ("Poh-tuss"), the Veep VPOTUS ("Vee-poh-tuss"), the First Dog of the United States FDOTUS ("F-doh-tus") and makes them up pretty much on the fly, such as VPVP ("Vice Presidential Visual Presence"). This annoys everybody.
"Yeah, well, next time pack an espresso in your big fucking bitch bag".
The former Director of Communications for Senator Hallows, until he sabotages her in an attempt to curry favour with Selina. This gets him a job under Mike as Deputy Director of Communications for Selina. Played by Reid Scott.
Gary: Every single thing you say to me is emasculating. Do you realize that?
Chronic Backstabbing Disorder: He will sell out whoever he works for if he thinks it can further his career, but then this is par for the course in politics. He's just the one in Selina's staff who displays it the most.
Hypercompetent Sidekick: Averted. Though clearly thinking himself as a cut above the rest, Dan's arrogance and inability to think things through causes his advice to not only be useless not once or twice, but every single time, frequently backfiring into his and/or Selina's face.
In season two he is told several times directly to his face that he is not nearly as smart as he thinks he is. Once by Kent once by oil lobbyist Sidney Purcell, and once by Selina herself, as seen in "Hostages", where Dan's attempts to sidle up to her backfire, as the VP was in the middle of reacting to the news of a marine losing his leg. He's put in his place so severely that even Gary gloats to him about it.
In season 3, when Selina is running for President, he promotes Dan to campaign manager. However, he ends up being unable to deal with the pressure and has a nervous breakdown. As a result, Selina replaces him with Amy.
Manipulative Bastard: A highly skilled political jockey who can quickly defuse complex problems for Selina, while also making things better for himself. Or so he thinks.
Reality Ensues: No matter how skilled you are, sneaking in a bill opposed by the President and much of Congress will cause a shitstorm. And result in the Veep having to veto the bill she spent ages working on. He is still dealing with the fallout as of the Season One final, and possibly into Season Two.
You Have Outlived Your Usefulness: A rare inversion - Dan sells out his boss, Senator Hallows, to dig Selina out of a scandal. In the process he gets a job on the Veep's staff. It's clear from earlier dialogue he sees the Senator as merely a stepping stone on his career.
Working with the Ex: Amy does not have a high opinion of him. Well, not his competence, but his personality.
"If I were writing a memoir, which I'm not, but if I were, whoo, this would be a big moment."
The Personal Assistant to the Vice President. Probably the most competent member of her staff. Played by Sufe Bradshaw.
Advertised Extra: Appears mostly in background scenes, either with her Running Gag or a snark, despite being listed on the credits. She gets more screen time and a more fully-rounded character starting Season 2.