Definitely. Gotham takes inspiration from the DC Comics universe and develops stories centered around the city and its various characters related to Batman's lore. The show incorporates elements and characters familiar to DC Comics fans.
Definitely not. Supernatural is not derived from DC Comics. It has its own distinct concept and narrative framework that doesn't draw from the DC Comics source material. The series has developed its own fan base based on its independent storylines and character development.
Definitely. The Sandman originated from the DC Comics universe. The characters and storylines have their roots there. It's a popular DC Comics property that has gained a lot of attention.
Definitely. Lucifer originated from DC Comics and the TV series builds upon the comic's universe and characters. However, there are some creative alterations made for the adaptation to suit the medium of television.
Definitely. The movie takes inspiration from the DC Comics character of the Joker and builds its story around it. It incorporates various elements and themes from the DC Comics lore related to the character.
One characteristic is the rich and complex characters. For example, Batman has his dark past and moral dilemmas. Another is the detailed world - building. Gotham City in Batman novels is full of its own unique atmosphere and problems.