Stepford Smiler: Much to the exasperation of his Companions, who would much rather that he simply deal with his pain rather than pretend that it doesn't exist.
Team Dad: Quite often, he comes off less The Leader and more this. Moriarty calls the Companions as the Doctor's children, his "Children of Time" — yes, from thence, we get the title. Holmes acknowledges that it is indeed true.
Tranquil Fury: Gets this at times, but it's more like "Barely Restrained Fury".
I Did What I Had to Do: Holmes's rationalization for deeds ranging from handcuffing Beth to a cab door to his Deal with the Devil. Really, his rationalization for a lot, in general, rather like the Doctor...
Love Redeems: Tormented by memories of Beth's death, Holmes slowly returns to himself and realizes, too late, that he's loved her all along. It's important, however, to note that it was his love for Beth and his love for Watson that helped to resolve the issue of Frozen Time — the other side of the coin was Watson's love.
Sugar and Ice Personality: Slips (arguably back) into this at times, somewhere between the "cool and collected" and "once you get to know them" types, and he's still pretty Adorkable just below the surface.
Break the Cutie: Dear heavens. Having been handcuffed, insulted, and threatened with physical harm by Holmes, she still comes back to rescue him, only to find that he's done a Face-Heel Turn. And this is after all the crap she's been through thanks to living in a terrifyingly dangerous world... not to mention surviving a sexual assault from Moran. [[Shocked and desperate, she commits a Heroic Sacrifice to save him, then dies realizing that not only does he not care, but he even resents her for it.]]
Bound and Gagged: We'll just say that Beth has more instances of being restrained than any other character (including our Distressed Dude of a protagonist) and leave it at that — and, yes, one of those instances plays this trope perfectly straight.
Devoted to You: When Beth explains her love for Holmes, she consistently claims that she can't remember not loving him. Justified in that she was raised to be an obsessive Sherlockian by her dad (and encouraged by her older brother).
Distaff Counterpart: To both Holmes and Watson, depending on which of her relationships is being analyzed. She is very appropriately the Holmes to Sally's Watson; but when it comes to her relationship with Holmes, she's rather like a younger, American, female Watson.
I was referring to your involvement in that incident on the playing fields, when you defended one of the smaller freshmen rather handily with your fists. That courage and compassion are two of the many things which make you the woman whom I have grown to love, without even realising I was doing so.
I Am Not Pretty/Just a Kid: The former is more implied than stated outright, but the latter is word for word in one conversation with Holmes. Having been bullied a lot at school and growing up with several brothers, she really has low self-esteem which eventually causes Sherlock pain. All that she's ever willing to concede is that she's smart, and that simply because of her grades.
In Harm's Way: Constantly. Which bothers Sherlock greatly in Season 2, especially once he realizes that Moriarty is after her as much as he is after Sherlock... perhaps even more so.
Innocent Blue Eyes: A good kid with big blue eyes... and the other characters can almost always read her by paying attention to her eyes. Later counts for What Beautiful Eyes with Holmes.
I Want My Beloved to Be Happy: Beth puts up with a lot from Holmes, some of it down right wrong. She puts up with it, anyway, because she knows something's wrong and, by her own admission, she wants to give him "a little sunshine".
Messianic Archetype: Actually carries strong shades of this, despite not being The Chosen One (as Holmes and Watson are revealed to be for their own era). She gathers to herself True Companions, and though she is by far not the oldest or even wisest person in her makeshift family, she has something of a leadership role thrust upon her. She faces persecution in that she is constantly on the run for her life and also has to protect her innocence in a world that does not favor virginity in attractive young women. She sacrifices her life to save a man (and, by extension, the entire world), and her sacrifice does end up saving that man's soul. And, yes, she comes Back from the Dead in a very literal way.
Single-Target Sexuality: Sherlock is very literally the first male Beth is ever romantically interested in, and she makes it very clear that he's the only one. (Although she does admit that she rather likes Jeremy Brett...)
Levels up between appearances in the series (the space of only one episode, but two years in her timeline) to Badass Bookworm for the start of the finale.
Levels up further during Frozen Time.
Full-fledged Detective Inspector at the start of Season 2. Even Moriarty, after a couple of episodes, is impressed.
Tsundere: Type B. Does her best to be a good friend to Holmes, very much in love with him but convinced that he'll never return her feelings. However, when he starts abusing her, it doesn't take much for her to slip into "tsun" mode.
When She Smiles: Sherlock tells Beth she has no idea what her smile does to him.
Wife Husbandry: Let's see: the hero she's had a crush on all her life ends up being her fencing instructor, and then thanks to separate timelines, when they marry, the age-gap between them loses two years. Still two decades between the two — and it will only get worse, considering Beth's origins — but she is an adult for all intents and purposes when she says her vows.
Worthy Opponent: Actually considered to be this by Moriarty, of all people, who acknowledges her quick thinking and powers of persuasion. He gags her at one point because he says in as many words that her tongue is a powerful weapon.
Foil: To Beth in several ways, being a few years older and more mature, while sharing similar traits like Born in the Wrong Century, Genre Savvy, Plucky Girl, etc. Also, though Beth is a Sixth Ranger accepted by Holmes and Watson, Sally is a Sixth Ranger accepted only by Watson. Sally acts the part of the Holmes in "Watson and Sparrow" while investigating the Weeping Angels with Watson; Beth consistently acts the Watson (not The Watson, but the intelligent Sidekick the real Watson truly is) to Holmes when they're on a case/adventure together. Not to mention, Sally has a sweet if fast-paced courtship with Watson before marriage, having to wait only a year to be reunited with him; while Beth faces a long, painful road towards being accepted as an adult, let alone a Love Interest, by Holmes, and has to wait two years before reunion early on in the relationship. To finish off, Sally can stay in Victorian London with Watson and have Babies Ever After; Beth, after a weekend-long honeymoon, has to return to her own time.
Karmic Death: Watson shoots him. Watson. You know, the man who went three years believing his best friend was dead and then spent nearly one more year knowing that friend was spiritually dead... and all because of Professor James Moriarty? Not to mention, Moriarty shoots Holmes and did aim to kill...
Knight of Cerebus: Things were already getting very dark. But this man shows up, and everything goes to hell.
Manipulative Bastard: Basically, the moment he opens his mouth, run, because this man can twist your heart up, puncture it multiple times, shatter it into a million tiny pieces, and then grind those pieces into dust. And then he'll make you want to do what he wants.
Seven Deadly Sins: The only two of which Moriarty is absolutely not guilty are Gluttony and Slothfulness. Envy, Greed, Lust, Pride, and Wrath all come into play in his motivations and Character Development.
Even Evil Has Standards: He makes a truly complicated case, given the above entries... and yet he respects Beth's unconditional love for Holmes and understands it better than Holmes does.
Faux Affably Evil: His treatment of Beth. The feigned affability is absolutely terrifying.
There's only one moment when you feel that his not-outright-sadistically-evil behavior is probably genuine, and that's still while torturing Holmes.
Hero Killer: He assassinates Mycroft and would have killed Beth, as well, had he not taken the time to mess with her.
I Was Beaten By A Girl: Played with. Holmes taunts Moran twice with the fact that Beth got away from him. However, the truth is that, out of the three times Moran caught up with Beth, she got away from him on her own only once — the Irregulars had to rescue her the other two times. Moran takes great relish in correcting Holmes.
And then Beth delivers this to him: "Heard you were shot by a girl. Right in the head." Which... probably wasn't the smartestthing to do...
The Atoner: Her character carries strong shades of this in "Every Good Fairytale".
Becoming the Mask: Carries overtones of this when she impersonates Beth for Holmes. She was already sympathetic, and her role comes off far less harsh and far more sympathetic than Moriarty had intended.
Broad Strokes: The Doctor describes plasmavores as internal shapeshifters in "Smith and Jones". Oh, but where's the fun in that?
Cursed with Awesome: She can take any sort of female human form she chooses... but she needs to feed on blood in order to do so, in order to even live.
[[spoiler:High Heel-Face Turn: "I was working for Torchwood... but the Professor and I... disagreed."
Envy: A subtle theme for her, but she once envied the human capacity for companionship whereas she and the rest of her race have to live apart from each other lest they attract attention and endanger themselves.
Gluttony: Her addiction to, ironically, alcoholics.
Greed: All her power and possessions only serve to make her crave more.
Lust: Like a classic vampire, she quite enjoys mixing sex with her meals. Even worse, a perfume courtesy of Torchwood allows her to toy with abruptly-hormone-addled men.
Pride: Tries to seduce the Great Detective just to be able to say that she did.
Sloth: Being exposed to compassion gets her to think, but she doesn't bother to follow her own musings through to conclusion, a.k.a. Heel-Face Turn.
Wrath: Also like a classic vampire, her rage lies beneath a thin veneer of calm, and she is truly animalistic in her wrath.
Affably Evil: He'd much prefer getting along with the Holmeses.
Ambition Is Evil: Plays into this trope far more than his predecessor — not having to face a strange and unnatural death as he did before, he really isThe Unfettered to focus his energies on whatever he wants.
Cloning Gambit: Not only is he the product of one, but he also tells Beth that he can do this again and again, as many times as necessary until he has accomplished his goals. However, the intended Badass Boast fails in an epic way when Beth can only express horror for him, and "something nearer to pity" than she's ever felt for him before.
Consummate Liar: Part and parcel of the "playing both sides of the fence" bit.
Dangerously Genre Savvy: Takes the idea to a whole new level to the point where it's implied that he's watched quite a lot of Sherlockian adaptations.
Smoking Is Cool: It's actually very much illegal by this point in time, and Sherlock is surprised that Moriarty indulges in such a dangerous habit. Moriarty smokes normal cigarettes but rather like a Film Noir character, possibly on purpose.
Sherlock Scan: Sherlock and Watson are automatically in trouble as soon as they come home from adventures with the Doctor, because Mycroft can do the Sherlock Scan better than his brother can! And he can scarcely understand what he's seeing...
He has the same problem in Frozen Time, unable to make any sense of who Beth is, except for her love for Sherlock.