Both dramas are heartwarming in a way because the main characters father dies and leaves them alone. The main character then has to live life without any family, that is until "family" shows up. Both characters work in a business with this new family. There is also LGBTQ+ representation in both of them.

Itaewon Class
The main character gets out of prison and decides to take revenge on a man who is half responsible for his fathers death. He wants to take revenge by outdoing the mans business. While planning revenge, he meets some people that make him feel he still has a family.
-Business, life, food


Move To Heaven
The main character is a young boy with autism, the boys father dies and he can't be left alone. So the boy's uncle gets called in to look after him. The uncle just got out of jail for beating someone up in a fight. The boy continues to work for the business that he and his father used to run, but instead of working with his father, he has to work with his uncle.
-A type of business to help the deceased and their loved ones
-Life, drama, family
-Very heartwarming and very sad
-Digs into multiple people's issues

One of the main characters in both series has a father that dies, after their father dies they get motivation to make their fathers wishes come true which is to destroy or to outdo some other business or company(the ones that ended up killing their fathers). Both MLs meet a FL that will help them with this. In both dramas, the main MLs find a new "family" that will change them for the better. Both dramas also have slight LGBTQ+ representation. Both dramas have a set of brothers, the older brothers own or run the bigger business that the main characters have to outdo or destroy. Both younger brothers don't like their older brothers and join the MLs side. A lot of funny side characters and comedy included in both. Some romance included, but isn't the main focus. Both have serious MLs that open up to their new "family". Both pretty much focus on revenge.

Vincenzo
-Focuses more on revenge than business
-Mafia
-Law and Crime
-Darker-More violence

Itaewon Class
-Focuses more on business than revenge
-Some dude who gets out of prison with a huge developed plan
-Food and life
-Not as dark, brighter

(Personally I liked Vincenzo better, Itaewon Class is still so good though)

In both shows a group of people are taken to an island and have to survive. There can only be one survivor though.

Squid Game
-The people have to play children games .
-The people had a choice whether to play or not.
-There is a prize for the winner.
-The characters are mostly adults who are in dept.
-A little less violent.

Battle Royale
-The people have to kill each other.
-The people have no choice and have to play.
-There is no prize, unless you live.
-The characters are a group of high schoolers from the same class.
-Probably more violent.