A form of Names to Run Away From Really Fast: People and families can have animals, real and mythological, as part of their names, but in fiction it's usually a dangerous sign to meet someone with a predatory animal in their name. Wolf, dragon, lion, tiger, coyote, snake.
Note that animal names can go either way depending on the setting; they can imply evil, or can simply be used to imply that a character is fierce and dangerous, and as such, can be used for good characters or even heroes. Some animals are tipped more one way than others, of course; lions and wolves can imply nobility, but snakes and scorpions usually don't.
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Most kinds of bear aren't well-known or catchy enough to get their own section, but watch out for anyone who goes by "Grizzly" or "Kodiak". However Russian bears (as a name, nickname, or title) definitely fit in this trope.
Anime and Manga
Fullmetal Alchemist's Briggs Bears. With minds and bodies tempered by the driving cold of the border between Amestris and Drachma (approximate Fantasy Counterpart Cultures of Germany and Russia, respectively), they're a force to be reckoned with.
Ursa (her name meaning 'she-bear') from Avatar: The Last Airbender is an aversion. Despite being the wife of the Fire Lord, she is shown to be a kind and loving mother ...who admittedly killed Azulon, the then-Fire Lord, for threatening the life of her son.
The Little Mermaid: Ursula. The name actually means "little she-bear," but she turns it into a Name to Run Away From anyway.
Karasu (Japanese for crow) from Three of Heart, One of Blood doesn't seem like this at first: He offers to bring Yukimori back to life. Unfortunately, it doesn't hold, as he's a Legacy and can't raise the dead — but he can cast extremely realistic illusions.
Draco, a lawmaker from ancient Greece, from whom we get the term "draconian" as in "draconian penalties", meaning extremely harsh penalties. His name is similar enough to the Greek word for dragon, and so little is known about the man himself, that it's up for debate whether this is a coincidence, or whether Draco is an assumed name chosen to invoke this trope.
Vlad Dracul and his son Vlad Dracula of Wallachia (the bynames meaning "dragon" and "the dragon's son" respectively), who were certainly apt to invoke this trope in their lifetime. The name, however, has a relatively harmless origin story, as it became the elder Vlad's nickname when he joined the the Order of the Dragon, a late-medieval chivalric order.
Billy Drago is the stage name of a character actor who generally plays Smug Snake variants. Coincidentally, it's his mother's real surname.
One Piece: Donquixote Doflamingo, a nihilistic pirate and puppet-master who slices people into pieces. He dresses in a pink, feathery coat and dabbles in slave trade, and abandons it because it's become passe (the slave trade, not the coat).
CJ's Secret Service codename on The West Wing is flamingo. She does not appreciate this.
CJ: The flamingo is a ridiculous-looking bird!
Fox (Vixen, Reynard, etc.)
Variations of "Reynard" — the original trickster-fox from the medieval stories — include, but are not limited to, Renard, Reinhardt, Reineke; possibly even Renfield. If somebody in your group has a variation of that last name, avoid him. He's The Mole.
In the Rush Hour sequels, not one but two villains have names that translate to "Fox" in that character's native language: Hu Li, from 2, and Inspector Renard from 3.
Pretty much anybody named "Jackal" is either an assassin or a terrorist.
Anime and Manga
Kurodo Akabane, aka Doctor Jackal from Get Backers is a Transporter who doesn't care how much a job pays, only how interesting it will be. And "interesting" to Doctor Jackal usually involves fighting someone powerful and killing them.
Hank Scorpio, Homer's 'Bond villain'-esque boss on The Simpsons.
Scorponok of Transformers: Beast Wars was an exception. Other Transformers with the name aren't, though. And given the main theme, often were likely to have a form that involves a stinger hanging over their body.
The Hyperion series by Dan Simmons features a Nigh Invulnerable, time-traveling robot assassin known as The Shrike, who is definitely not someone you want to mess with, primarily because it will live up to its name.
Shrike the Stalker in the UK release of Mortal Engines (Grike in the US).
Orochimaru of Naruto fame. In Japanese, his name is usually written as 大蛇丸; the middle character 「蛇」 means "snake." Additionally, the Orochi (written as 大蛇) is itself an evil snake from Japanese mythology.
One Piece: Boa Hancock, the "Snake Princess". Also Nefertari Cobra, King of Alabasta.
William Makepeace Thackeray had a lovable traitor family named the Crawleys, and Anthony Trollope, who was heavily influenced by him gave the last name to a noble character.
It's probably worth noting Good Omens has Noble Demon Crowley originally named "Crawly" (he was the serpent in the Garden of Eden), and whose present name is an allusion to famous Satanist Alastair Crowley. (The demon's first name however, subverting this, is Anthony.)
Slytherin House (whose emblem is a snake, and whose name sounds like 'slithery') and its founder Salazar Slytherin. In-universe, "Slytherin alumnus" is almost a synonym of "dark wizard".
Severus Snape comes pretty close.
Voldemort's snake Nagini, whose name derives from Sanskrit and Hindi words for "snake."
Herpo the Foul, one of the first recorded Parselmouths (wizards who can talk to snakes).
Nag and Nagaina, the two cobras from Rikki Tikki Tavi. As mentioned with Nagini from Harry Potter, their names derive from the Hindi and Sanskrit words for "snake." Their names probably were influences for Nagini's name.
The Red Viper in A Song of Ice and Fire is a warrior prince who uses Poisoned Weapons, which is why he goes by that title. (Although he's in no way one of the more evil ASOIAF characters. He's one of the many, many Bad Ass ones though.)
Roberta, aka The Maid and most especially The Bloodhound Of Florencia, tends to destroy everything her path, and is incapable of dying, where even a city of the most powerful mafia lords in the city consider her a very serious threat that almost undermines everything by her mere presence and need to get revenge. She definitely qualifies as a name to run away from really fast. Except you can never run far enough. You can never run fast enough. She's the Bloodhound Of Florencia. Once you have her on your trail, you will not escape.
To give you perspective, she once outrun a car. On foot. So, yeah, you can never run fast enough.
Arkadiy Volkov, Russian chief vampire from the Midnight World series. Lampshaded in the chapter La scorta: Count Saint-German's assistant juxtaposes him and the Japanese chief vampire as "White Wolf and Little Black Riding Hood".
Adolf Hitler seemed to have had an affinity of some sort for wolves. His first name derives from Athalwolf, Old High German for "noble wolf", and for this reason "Wolf" became his childhood nickname. He later used it as a pseudonym for himself in the 1920s, ostensibly for security reasons. Three of his military headquarters were named Wolfsschanze ("wolf's lair"), Wolfsschlucht ("wolf's chasm"), and Werwolf ("werewolf").
From Naruto is Hoshigaki Kisame (Kisame means demon shark) and his sword Samehada (sharkskin). It's also very literally a Meaningful Name, since Kisame looks like a shark, uses shark-based attacks and can fuse with Samehada in a shark hybrid.
Weevil Underwood from Yu-Gi-Oh!. Not particularly strong, but a sneaky, conniving pest who'll stoop to pretty much anything.
Golbez from Final Fantasy IV has what must be one of the most awesome name origins in fiction. Aside from sounding fitting, bad ass and like a name you'd want to run away from, it is actually named after a type of fly. A fly that in legends were said to be born from the rotting corpse of a dragon. On top of that he shares his name with Golubaeser, a demon in the book Devils by J. Charles Wall, where several names from the game were taken. Does that mean they just stole the name from somewhere else? No they were entirely aware of the original source as the DS remake not only references it but also manages to relate it to an in game legend with multiple interpretations.