Death and All His Friends TV Tropes (Very outdated at this point)
Jack
Anthropomorphic Personification: He is literally Death personified/the Grim Reaper.
Louis Cypher: Whoops! Turns out that sketchy guy that's been around for a while is literally Death. That can't be good. Though he's not satanic or the devil, as this trope usually implies, he otherwise fits this one pretty well, even the obvious pseudonym part (his supposed last name is Thanatos).
Blue-and-Orange Morality: His morality is so alien and different than that of the human experience, it's impossible to put him on an axis of good vs. evil or lawful vs. chaotic. He's not neutral; he's just on a different axis entirely. He could, for example, commit an act that would seem atrocious to humans but think nothing of it; not because he's evil, but because he just doesn't think the way a human would.
Psychopomp: He doesn't actually need to kill people (well, usually); his job is to just collect the souls of the recently deceased and take them onward.
The Seducer: Very skilled at manipulating people with his charm.
Really Seven Hundred Years Old: He certainly doesn't look it. He doesn't masquerade as a human, exactly, but he does pretend to be much less powerful and important than he really is, in order to better interact with mortals.
No Thanks I'm Ace: A bit at odds with his flirtatious personality.
Nay-Theist: Completely aware of the existence of gods, afterlives, etc.; refuses to believe they are actual deities or worship anyone. Lucifer can go screw themself.
Quill
Only Sane Man: We can't just go around hopping dimensions and killing people! Seriously, though, what the hell is even happening ever
Nerd
Horrible Judge of Character: She assumes the very best of everyone. Way too easily trusting and naive.
The Baby of the Bunch: Really the only teenage character of the core cast, and less experienced.
Naive Newcomer
The Watson: Quill's flavor of audience surrogate. She's very curious about her new job and employers and asks a lot of questions.
Cyrus
Lovable Rogue: She breaks the law frequently, and not even in a for-the-greater-good-way; she just thinks it's fun. She never does anything really bad, though, and her charmingly adventurous personality makes her quite likable anyway (the Seattle police department is certainly fed up with her, though).
The Wildcard
Heroic Neutral: Though she does occasionally do things for the sake of being good, it's not super common. Her job is to exorcise illegally summoned daemons, and also works as a detective for related cases of these, which would be considered heroic jobs from an outside perspective. In reality, she just likes the adventure that comes with it.
I Am Not My Father: Actively avoids her father's weaknesses, like alcohol, to make up for her past and prove she's nothing like him.
I Hate Past Me: She's cleaned up her life a lot in the past few years, but if she could she would absolutely kick her past self's ass and tell her to snap out of it.
Sir Swears-A-Lot
Did You Just Scam Cthulhu?: She can and she will. Knows her way around making deals with daemons (too late to correct the deal she made with Jack, though).
Emmett
Anthropomorphic Personification: You could say he's Father Time.
The Professor
Adorkable
Gone Horribly Right: Congrats! You've just invented death! And made Life very angry with you in the process!
Beleaguered Bureaucrat: He'd like to help you, he really would. But keeping time on track keeps him busy enough as it is.
For Science!: A questionable but innocent enough experiment conducted with Jack went horribly right, as mentioned above.
The Sandman
The Sandman: He's the Sandman. Not much else to explain there.
Nightmare Weaver: But no one said the Sandman was a good guy! He'd say 'sweet dreams,' but there aren't any left.
Who Wants to Live Forever?: Take his word for it, immortality sucks.
Death Seeker: He used to be, at least. He gave up when even Death's scythe couldn't kill him. He still really wishes he could die, however.
Gone Horribly Right: Succeeded in making himself completely immortal; it is by far is biggest regret.
Sympathetic Villain: He's pretty dang evil, but you can't help but feel bad for him. I couldn't actually find what trope I was looking for in TV Tropes, but basically, though he has few redeeming qualities and is intentionally evil, because of some of his circumstances and his backstory, you feel sorry for him. Just a little.
Functional Addict: On the verge of an Addled Addict. When he gave up on killing himself, he started doing drugs instead, usually in amounts that would kill anyone that isn't immortal. Any drugs, as long as they're strong. He can't function without them, but is highly capable as long as he has his fix, if not a little out of his mind.
Your Soul is Mine: The Sandman's main role in the story is basically operating an illegal soul cartel. He takes souls from the recently deceased before Jack or another reaper can get to them (or just straight-up kills people and snatches their soul), then sells them (which is highly illegal and immoral, as a soul is basically just a person without a form). He usually sends out Azazel or others to do the dirty work of actually collecting souls.
Azazel
Dragon with an Agenda: They're the Sandman's 'dragon,' or second-in-command, but Azazel has goals on a less grand scale. They're just in it to cause chaos and make some money selling souls. They aren't personally loyal to him, but it's a good job, so they look out for him.
Eldritch Abomination: Azazel's a fallen angel, but one of those crazy biblically accurate ones. They usually appear in a comprehensible, less eldritch-y form, however.
Love
Anthropomorphic Personification: Unlike Jack and Emmett, they just go by what they're the personification of: love.
Cloudcuckoolander
Anthony
Unfazed Everyman: Though he and everyone else in this universe interact with daemons and other fantasy things all the time, Cyrus and Co. are on a special level of weird. He's gotten used to it and doesn't bother asking questions anymore.
God
Beleaguered Bureaucrat
Charon
God Job
Psychopomp: He acts as a second psychopomp after Jack, sending souls to the correct afterlives.
Relieving the Reaper: Jack collects souls, but doesn't usually send them all the way to where there supposed to go; instead, he gives them all to Charon in a sort of 'waiting room' between afterlives. Then Charon reviews their lives, weighs their souls, etc., and sends them off to their proper afterlives.
Living Forever is Awesome: Helping people reach the right afterlife for all eternity? What could be better? Everyone else can't believe he hasn't gone insane by now, but he genuinely likes his job because he believes he's doing a good thing.
Tyl
Living Forever is No Big Deal: Immortality? I mean, cool, I guess. She's kind of bored, but her job's decent enough.
Relieving the Reaper: Helps Jack out and collects souls.
General Tropes
Fantasy Kitchen Sink/World of Weirdness: This universe's main trait is possessing tons of different dimensions, making all sorts of fantastical things canon.
Crossover Cosmology: All mythological/religious figures are real. Have fun.
Anthropomorphic Personification: There are a whole lot of those. Death, Karma, Dreams, etc. incarnate.
The Sacred Darkness
Did We Just Have Tea with Cthulhu?
Death Takes a Holiday
Deal With the Devil: Cyrus and Jack. Not technically with the devil, but the trope still stands. Making a deal with Death is even worse than a making a deal with Satan! Though Death may not be inherently evil.
Fantastic Racism: Daemon rights!
Post-Modern Magic
Celestial Bureaucracy: Most notably Heaven and Hell, though all afterlives follow this to some extent.
Deader Than Dead: The soul needs to be destroyed (the only known thing that can destroy a soul is Death's scythe) in order for someone to cease to exist completely.
Character Dynamics
Broken Pedestal: Quill with Jack, and, to a lesser extent, Cyrus. "Don't make people into heroes. Heroes don't exist, and if they did, I wouldn't be one of them." Quill still loves both of them, but she realizes they aren't all they're cracked up to be. (2/16/21 edit: THE SHERLOCK QUOTE PLEASEHFJSFKSJF)
Self-Proclaimed Love Interest: Karma thinks her and Jack are meant to be; Jack wants absolutely nothing to do with her. Bordering on Stalker with a Crush.
Go-Karting With Bowser: More specifically, 'God Karting with Beelzebub.' God and Satan have nothing against each other and are really quite good friends, though they keep this quiet. Sort of an Aziraphale/Crowley dynamic from the book Good Omens.