The Fall of Lord Frieza is a Dragon Ball ZFan Fic by Mr. Arkham. The main story breaks off from canon when Frieza decides not to throw Goku's borrowed energy back at him at the end of their battle on Namek. After flying off (with his missing half in tow), and being found King Cold, he decides to return to his home planet, Arcos, and train to take revenge on the Z-Fighters.The fic is notable for being well-written and in character, with lots of believable Orignal characters, in addition to providing massive amounts of character development and backstory for not only Frieza, but also his family, his entire species, and his empire.
Beware the Nice Ones: Goku and Gohan are nice guys, but they're also Saiyans and can RUIN you if you piss them off.
Big Brother Bully: Cooler was apparently rather mean to Frieza when they were children. They later began getting along more in their adolescence, before pulling a total 180 and hating each other again.
Big Damn Heroes: Frieza and Cooler swoop in to save Inyon, Piccolo, and Gohan from Raichi.
Big "NO!": Frieza, when King Cold dies. Could also apply to Cooler in the same situation.
Janemba taking over Saike is a more literal example.
Determinator: Frieza goes through a lot of shit, for the sole purpose of getting a rematch against Goku.
Domestic Abuse: It's not exactly the most common use of the trope, but King Cold killed his queen for trying to convince Frieza and Cooler to be kind rulers (or at least not complete tyrants) when one of them takes over the empire.
From Nobody to Nightmare: General Kanchapp was once a tournament fighter with freakish strength. King Cold discovered him while spectating one tournament, which led to him becoming one of the Planet Trade's highest-ranking generals.
Gorn: A few examples in the earlier chapters, the author doesn't seem to do it as much as the story goes on.
Handicapped Badass: Thoroughly averted early in the story. Frieza notes that his prostheses are somewhat slow and clunky compared to his organic limbs (feeling things with his new arm is compared to doing so while wearing a glove), and he cannot tap into 100% of his power with the mechanical limbs. Thankfully, the maiming is only temporary.
Heel-Face Turn: A major element of the story, and not just for Frieza either. Cooler and Zangya also turn.
Hellfire: The Flames of Porunga. The technique isn't actually evil in any way, but they act just like your usual cut-and-dried example.
Heroic RROD: The Kaioken, as well as anything that taxes someone's energy output too much. During Goku and Frieza's rematch, Goku activates Kaioken while a Super Saiyan in order to win a Beam-O-War, but underestimated how much it would drain him.
Jumping Off the Slippery Slope: Invoked. Frieza and Cooler both had their morality beaten out of them (sometimes literally) by King Cold after their mother died, and her influence with her.
Just a Machine: Frieza is briefly tempted by the immortality and power that joining Cooler in the Big Gete star would grant him, before realizing that Cooler isn't completely sentient anymore due to the CPU guiding his logic.
It is explained that the Raichi AI is incapable of changing and leaving his hatred behind because he was created with the sole purpose of destroying the Saiyans.
Mighty Glacier: King Cold, at least if one uses Frieza and Cooler as a baseline.
Mind over Matter: Most people skilled with Ki manipulation have at least a little, but Frieza trained his telekinetic powers into a deadly weapon. In his sixth form, he can casually smash gigantic icebergs together with little strain.
Noble Demon: When you think about it, Queen Cold's perceived kindness and anti-Machiavellian philosophy only makes her look truly good when juxtaposed with the rest of her family, but she at least seems to be a nice person. She also managed to make into heaven, so she couldn't have been that bad.
When Frieza unlocks his fifth form, he gives General Kanchapp the beating of the century, drags him across the hull of spaceship, and impales him on a spire of ice on a moon with no atmosphere.
Goten and Trunks get a horrific stomping from Hatchiyack.
When Janemba's power resurrects the denizens of Hell, and Frieza finally sees his father again, who he has grown to hate... it's not pretty.
Not That Kind of Doctor: When Frieza asks Midgyo for advice about his nightmares, he gives some theories, but says that he doesn't really know anything for sure, since he's not a psychologist.
Older than They Look: Frieza is nearing his fifties (later in his mid fifties) and Inyon is at least 7 years older than Vegeta. Note, in chapter 3 Frieza states that he thinks it's been almost 100 years since he's trained in his training room meaning he's likely closer to 125-150 than he is to 50, unless the author just forgot about that.
Or it was an exaggeration.
Original Character: A few show up in the fic. Most notable are Inyon and Slak, but there are others like Ais and Polarri (Two of Frieza's handmaidens from Arcos) and Midgyo (The scientist who restored Frieza's limbs.)
Janemba can also warp his proportions in a similar fashion.
Run the Gauntlet: Part of the reason Frieza was able to beat Raichi was because he was tired from fighting Inyon, Yamcha, Gohan, and Piccolo in quick succession, with no time to rest.
Signature Move: Frieza explains that the Death Beam is actually a Signature Move for the entire Arcosian royal bloodline, invented to quickly and efficiently execute those who were suspected to be traitors on the spot.
Stronger Sibling: Cooler, at first, thanks to his fifth form. He actually manages to defeat Super Saiyan Trunks and comes close to killing Goku right after. We all know how Frieza vs Trunks went in the actual series...
And yet before that, Frieza was superior, and after Frieza attains the fifth form and Cooler is returned to his organic body, Cooler is just a bit behind, only for Frieza to surpass him again when he attains his sixth
Super Mode: It's a Dragon Ball fic, of course. In addition to the standard Super Saiyan forms, there's also the Arcosian fifth form.
Superior Species: The entire Cold bloodline is stated to be made up of insanely strong freaks of nature, but the Arcosians are still possibly the strongest species in the universe on average.
Superpowerful Genetics: As was the case in canon, the offspring of the Saiyans are incredibly powerful. However the Cold Family do have a lineage of this, as one of their ancestors was the first to unlock the 5th form. It's implied only members of Frieza's bloodline can utilize this form.
The Apprentice: Saike becomes this to Goku after Janemba is sealed away.
Theme Naming: In addition to Frieza's family, every single Arcosian introduced so far has a name somehow related to coldness.
Inyon keeps up the tradition of Saiyans being named after vegetables, with her name sounding close to onion.
The Revolution Will Not Be Civilized: General Kanchapp's rebellion, which immediately goes after Arcos and blows it up, and is led by a man who plans to be just as much a tyrant as Frieza, and doesn't actually care about the usual rebellion stuff.
Took a Level in Badass: Yamcha. While all the human fighters have become far more important in this fic than in canon, Yamcha has undergone the biggest change.
There's also Frieza (who eventually takes on a possessed, albeit highly fatigued and worn out, Super Saiyan 3 Goku), Cooler ( who becomes stronger than Super Perfect Cell), and Piccolo, who gets to Cell's level by fusing with Slak.
Took a Level in Kindness: Compared to his canon counterpart, Frieza takes about a million, bit by bit, over the course of the story, many of them without realizing it.
Transformation Is a Free Action: Averted completely. Transformations are interrupted quite a few times, and when someone manages to pull one off without a hitch, it is usually justified. It is this very aversion that costs King Cold his life when Trunks kills him before he can finish transforming into his fourth form.
Strangely enough, Hatchiyack, who was originally an experiment into the limits of soft AI, before being turned into a Saiyan killing machine
Villain Forgot to Level Grind: Averted. In fact, the whole premise of the story is what happens when a villain does decide to level grind. Until the events of the fic Frieza hadn't even trained rigorously for a very long time. He spends the story training constantly whenever possible. Cooler also level grinds, though only after his Heel-Face Turn.