Despair Event Horizon: Two so far. The first is at the end of season 1 when she loses her job and believes herself insane causing her to resort to electroshock therapy. The second is in season 2 after the Beirut arc, when Estes makes clear that she can never get her job back and she attempts suicide.
Jumped at the Call: Presumably with Carrie when she became the CIA's point person on investigating Abu Nazir. She followed her intuition to the point where she was seen by other characters as a Well-Intentioned Extremist.
Idiot Hero: Sure she is good at connecting the dots, but she is absolutely abysmal at following orders, which is the point of being a government employee. You can count with fingers the episodes in which she doesn't let her emotions cloud her judgment and does what her bosses tell her to. Her recklessness is such that in season 3 Quinn has to shoot her when she is about to burn an ongoing mission.
Lima Syndrome: Carrie falls in love with Brody over the course of her surveillance, despite the fact that she believes he's a terrorist.
Married to the Job: She's not happy about it, but is starting to become resigned. Double Subverted in the season 2 finale when she puts her personal life before her career but the circumstances and events undo this choice.
Missing Mom: Her mom left are Frank's refusal to deal with his condition became too much for her. Carrie understands why she left, but the lack of any reaching out since then is harder to deal with.
Really Gets Around: If stuff doesn't work her way one of her first cures is to fuck with it. On the pilot, when her illegal surveillance is discovered and about to be shut down, she tries to do it with Saul. Later she puts on nice clothes and tries to look for a one night stand. In season three, after Carrie figures out she might be made the patsy for the terrorist attack, she's shown during a scene getting into a conversation with a guy about beer while shopping at a grocery store. The next scene shows them both having sex at her house on the stairs. This makes sense given her bipolar disorder and tendency towards mania - a heightened sex drive and promiscuity are often symptoms of an oncoming bout of mania for people with mood disorders, and promiscuity itself is sometimes a symptom of mental illness.
Wide-Eyed Idealist: In a way. She is perfectly aware of the rotten game she's been playing, and the stake of it, but in the end she still wants to trust in the goodness of her colleagues, and even Brody.
Decoy Protagonist: The series began with him being just as important to the main plot as Carrie Mathison. However, he's slowly Demoted to Extra in season 2, and Out of Focus for majority of season 3—until the end where he's once again given a protagonist role, before he's Killed Off for Real during the final episode of season 3.
Tempting Fate: In Season 3 he promises to comeback and repair the relationship with his daughter and be with Carrie permanently after the assassination mission in Iran. Though he completes the mission, Brody ends up getting captured and hung in the end.
Well-Intentioned Extremist: Unlike Nazir, who essentially wants the demise of the West and cannot be considered well-intentioned, Brody, before his Heel-Face Turn, wants to specifically punish Americans who he sees as culpable in unnecessarily killing civilians, including a child he came to care for. This does not make him justified, but makes him somewhat sympathetic and fitting this trope. He wants to purify the West, not destroy it.
"I seem to have become one of those women who takes their kids to school in their pajamas."
Played By: Morena Baccarin
First Girl Wins: A bit of dialogue in Season Two states she and Nicholas have known each other since the latter was fourteen years old. Completely subverted by Season 3 as Nicholas Brody chose to be with Carrie after he found out she was pregnant with his baby. And Jessica moved on with her life believing that getting back with Nicholas was a mistake.
Meaningful Rename: Adopts her mother's maiden name because she doesn't want anything related to her father's legacy.
The Millstone: Starting season 3, as a result of her Romantic Plot Tumor. She has nothing positive to contribute to the main spying plot. The one time her actions do get the CIA involved, that's when she almost blows Carrie and Saul's half-season worth of a long game.
Morality Chain: To Brody. She's able to talk him out of committing the suicide bombing in the Season 1 finale, even though she doesn't realize that's what she's doing.
Must Make Amends: She tried to apologize to the family her boyfriend hit and run, and then admit fault to the police when that doesn't work out.
Out of Focus: Considering he doesn't really have a plotline going on, he is generally just "the other guy in the scene" when he does show up. Judging by his behavior towards the end of Season 3, even his own father seems to have forgotten he exists.
Badass Bookworm: He's mostly an office analyst, but he is shown as very competent when he does field work.
Being Good Sucks: His service to the country puts a strain on his marriage, and he's given a very hard time when he clashes with Estes over a broken deal.
Batman Gambit: Throws Carrie under the bus in the aftermath of the attack on Langley. He doesn't become a Broken Pedestal because it's revealed to be a part of a complex scheme to lure the Iranians.
And then there's his followup plan: Turn a war criminal into a puppet for the CIA, and then use the US's most sought after fugitive to assassinate a high-ranking Iranian official so that he could be replaced with said puppet.
The Fettered: A principled spy who stands by his word, defends that deals must be honored and advocates for smart-not-blunt approaches. Fellow spymaster Dar Adul even chides Saul for being too sensitive for the profession, but this righteousness has doubled as a motivation for years.
Foil: To David Estes. Both are senior officials at the CIA, but Saul is a principled hero who tries to do the right thing, even if (and when) his career suffers for it.
Only Friend: To Carrie's. It works both ways, he is her Only Friend as much she is his. Estes explicitly tells Saul in "I'll Fly Away" that, except Carrie alone, Saul himself really has no allies in the CIA.
Subverted in season 3: Despite appearances to the contrary (and assurances to Lockhart), Dar Adul seems to be very much an ally of Saul's.
The Last DJ: A veteran who didn't have a higher rank at the CIA because he's not a political animal.
Double subverted in Season 3. In the season's first four episodes, it seemed that he was being extremely cruel to Carrie (whether it was somewhat deserved, fans can disagree on). He also had a Kick the Dog scene with an Islamic analyst that looked very bad. But at the end of Episode 4, The Reveal showed that he and Carrie had actually been working together, and Saul had not lost his morality. He then was shown as a Reasonable Authority Figure throughout the rest of the season, although some thought that he had become too much like The Spock, willing to sacrifice individuals' safety for The Needs of the Many.
The Stoic: rarely raises his voice or loses his cool, although if he's displeased with you, you will know it.
Took a Level in Jerkass: In the third season he is more personally unpleasant and goes in the direction of being The Un Fettered in terms of his willingness to use as sacrifice assets and seek out shady assets for the greater good. Before the reveal at the end of "Game On" (Season 3, Episode 4) he seemed to have taken several levels in Jerkass, but after that it seems at worst he's become more like The Spock, focusing on The Needs of the Many, with a plan to make anti-American terrorism much harder and less likely, although willing to reluctantly break a few eggs if required for that omelet.
Reasonable Authority Figure: He is a competent boss at his own right. It's just that, unlike Carrie, he is limited by CIA bureaucracy. Played with in that he shares Walden's agenda and this makes him an obstructive antagonist or worse when it fits him.
Crouching Moron, Hidden Badass: He's introduced as a simple analyst with the Directorate of Intelligence. "Two Hats" reveals him to actually be a black ops assassin with the Special Activities Division, sent to eliminate Brody once Abu Nazir's organization is destroyed.
Sour Supporter: He states outright Carrie is good, but he's equally willing to snipe at her the rest of the time.
Tyrant Takes the Helm: Subverted. Estes places him in charge of the Brody taskforce to keep Carrie and Saul in check and both are initially suspicious of him. It turns out that not only is he a competent manager, but is almost as much of a Cowboy Cop as Carrie in his own right. Played with a bit further as he's not even an analyst but a black ops operative with his own agenda.
Unresolved Sexual Tension: Subtle and mild examples here and there with Carrie, such as his no nudity taboo and several explicit and awkward remarks.
Would Not Hurt A Child: In the season three premiere, he takes a riskier and more personally dangerous approach to an assassination rather than blow up a child along with his mark. After he accidentally shoots the kid anyway, he tells Saul he plans to quit once their job is done.
Dropped a Bridge on Him: Brushed aside in the chaos of the season 2 finale's huge explosion to the point that the audience was uncertain of his fate until the producers confirmed his death.
No Party Given: It's not explictly stated but it's suggested he is a Democrat, as the disgraced Congressman quickly replaced by his protégé Brody is also one. There's nothing to rule out the Invisible President is Obama.
Waldon could just as easily be a Republican—House vacancies are filled in a special election, which Brody presumably won between seasons. During season two, it is mentioned that there is a constituent event in Culpeper, VA. In real life, Culpepper is in the Virginia 7th District, which is fairly conservative and is currently represented by Republican House Majority Leader Eric Cantor. All else being equal, that area of Virginia is more likely to elect a Republic than Democrat in a special election, though with Brody's war-hero backstory and the support of the White House, it probably wouldn't matter much.
Jerk with a Heart of Jerk: He's introduced offering a blindly gung-ho opinion during a debate, later on he looks like a pleasant kid to date, by his spoiled and selfish tendencies become clearer over time and he is revealed to be exactly like his father's son when he refuses to own up a hit-and-run.
Strawman Political: He's spends much of Season 3 doing nothing but oppose Saul at every turn, and criticize the CIA without offering any tangible solution (other than using more drone strikes). However, he does become more of a Reasonable Authority Figure after being blackmailed by Saul into allowing his operation to go through.
Tyrant Takes the Helm: Set up as this, he's very hardass and is determined to undo Saul's policies, shifting the importance of field assets in favor of drones.
The Cassandra: Realizes immediately the falsity of Brodie's public-relations created image as gung ho war hero, and he correctly assesses Brodie's motives in the second season, unlike most other people who interact with Brodie While the exact theory he reaches isn't accurate, he is completely correct that Brodie is up to no good and had something to do with Walker's terrorist plot/Walker's death.
Thanatos Gambit: He gives up his own life to convince the CIA his plans are no longer a threat. He kills Walden - the man he was specifically after - shortly beforehand to complete the illusion... and then the bomb goes off.
Visionary Villain: He believes that even if it takes 300 years, his cause will prevail.
OOC Is Serious Business: The unlikeliness of Walker missing several consecutive shots doesn't go unnoticed by other characters.
Pet the Dog: Bounds and gags a woman during an assassination. This witness seems like a prime candidate for termination, but he leaves the scene without harming the woman, and even shows some sympathy towards her.
Dangerously Genre Savvy: She is aware that Brody has never really been committed to the cause, and therefore never takes Brody in her plans without isolating him first. Her savviness is best shown when Carrie tries to play her usual Good Cop/Bad Cop routine.
Roya: Have you ever had someone who somehow takes over your life, pulls you in. Makes you do things ... that you know are wrong, but you can't help yourself? Do you have anyone like that?
Evil Counterpart: Unlike Abu Nazir and his organization, who were driven by ideology, religion and revenge, Javadi is simply an enemy spymaster. Although he manages terrorist operations, it's just part of the job.
Evil Is Petty: Makes a pit stop to brutally murder his ex-wife and daughter-in-law on the way to turn himself into the CIA.
I Fight for the Strongest Side: He betrayed America's asset during the Iranian Revolution to get on the good graces of the Islamists. Later, after the CIA hit back at the 12/12 masterminds, and then confront him with the evidence that he has been embezzling state money, he agrees to be a mole without putting any fight.
The Mole: He was this for the Iranian Revolutionaries inside Savak in the backstory and the CIA is trying to turn him into one for them inside the IRGC.
The Sociopath/Faux Affably Evil: He appears to be relatively well adjusted and polite at first, but he is ultimately ruthless, capable of killing in cold blood without hesitation.