YES. A lot of animals die on this show, from random animals to beloved pets.

A dragon is killed by the White Walkers.

Someone breaks a pigeon's neck with the intent of selling it as meat.

A rat is placed into a pan against someones belly and heat is applied to the pan. Also, some dogs are left in starvation, but they later eat their owner, which is nice.

Several direwolves fight people or monsters in battles, but the direwolves don't fight each other.

There are rats, and snakes e.g in Dorne, its a scene where they get killed so idk if you mind. Not many bugs but there still is some.

Specifically, I think one gets beheaded. It's considered in poor taste by the onlookers, but it happens.

A cat's death from the hands of one of the character's psychopaths is discussed and described, but not shown. The description is quite graphic, however.

Cersei Lannister, Tyrion Lannister, and Robert Baratheon all drink excessively.

Most of an army is burned alive in the season 6 finale and episode four of season 7. A little girl is burned alive in season 5 episode 8. Dothraki are burned alive in some episode of season 6, I wanna say five. In episode two of season 9, wildfire (similar to historical Greek fire) was used to burn a whole fleet of ships and its inhabitants. It's a show with dragons and religions based around burning people alive. If you don't like fire, avoid.

There are very graphic scenes of characters screaming while their eyes are crushed, with blood gushing from their eye sockets.

Throats are cut.

Oberyn Martel has his teeth knocked out shortly before he dies in The Mountain and The Viper

Yes. There are multiple scenes of vivid and gruesome torture depicted, including flaying, cutting off of fingers and genitalia, and a characters hand is cut off.

One particular character is tortured, both physically and psychologically, to a point where they essentially become an entirely different person & end up entirely submissive to their captor.

Oberyn Martell's head is crushed by the Mountain.

Someone is captured and tortured for several seasons

Small children are murdered for being the dead king's bastards, a little girl is burned alive, a little girl is poisoned, a boy jumps out of a window, a little boy is shot to death with arrows, another baby is murdered by his half-brother, a teenage boy is poisoned, a boy is killed by his cousins, and a little boy is hanged.

Ned Stark is beheaded in front of his daughters, Tywin Lannister is shot with a crossbow by his son, Catelyn Stark is killed leaving her living children orphans, Lyanna Stark dies in childbirth leaving her son Jon an orphan, Walder Frey is killed by Arya Stark, Roose Bolton is killed by his son.

Not sure if this counts, but some characters (called wargs) are able to possess the mind of animals, and when they do so, their eyes rolled back into their head

There are some dwarf clowns at the wedding of Joffrey and Margaery.

Only one or 2 throughout the series, not a jump scare aimed series though

Yes, there‘s a shadowy ghostlike figure killing a king in season 2 (?)

Season 6, Episode 3 - Sam vomits twice while on a ship

There is some battle side medicine without adequate pain relief.

Lord Hoster Tully dies from cancer. The death is not shown, but his funeral is. The disease is not specifically identified as cancer on the show but is heavily implied to be cancer in the books.

In Season 5, Qyburn uses what is basically the GoT-universe equalivent of syringes and IV-tubes on Gregor Clegane.

Battle of the Bastards has a claustrophobic scene.

Jaime's hand was cut off and he had a lot of issues with that

A teenager dies after allowing himself to fall from a window. The collision with the ground is not shown.

Not intentional but the cam is a bit off in the style of the early 2010s....

It’s not shown on screen but it is heavily implied the a character is asking for and consuming potions or medicines with the intention of causing miscarriages.

A woman is shown in the early stages of labor while fully clothed. Neither the actual birth or (stillborn) child is shown. A woman gives birth to a shadow.

In S03E09 a pregnant woman is repeatedly stabbed in the stomach and dies as a result.

A pregnant woman is stabbed in the gut, resulting in her and the unborn childs death

At least once an episode.

Many characters, many times, sometimes on-screen.

Yes, right from episode 1.

I can think of at least 3 LGBT characters who are killed in the show. All of their deaths are graphic, which is in keeping with the graphic nature of the show.

Someone has to pretend to be a boy, someone isn't comfortable acting like a girl, someone gets castrated. A lot of people are already castrated.

There is a bittersweet "Yay, I'm alive!" ending for a handful of characters. At least 10 times that many named characters died, and who knows how many thousands of extras and CGI characters! As someone else said, it depends on who (and what) you rooted for.

The series has lots and lots of graphic violence: dismemberment, disfigurement, beheading, gruesome dead bodies, stabbing, flaying, throat slashing, burning alive, eye gouging, physical torture...

Multiple hangings throughout the series. In the later seasons (not sure about first few) you're even shown the facial expressions of the people that are hanged and you see them struggle

It is shown, actually. Season 5 episode 10 (SPOILERS) while Arya is training as a faceless man, she disguises herself as a young girl in a brothel knowing that Ser Meryn Trant is a pedophile and will choose her to use. He then beats her on screen, and she takes off the face she's wearing and stabs him to death.

It's not nuclear but it's a big boom

A child dies by suicide in this manner

There are literally no cars whatsoever in the entire show.

No guns, just fists, swords, clubs, claws, axes, arrows, incendiaries, catapults, whips, tramples, pliers ... pretty much any way to hurt someone using medieval tools.

Does a dragon crash count?

There are no cars at all in this series Horses? yes Dragons? yes Cars? No

Not exactly buried, but two characters get crushed under a falling building.