The Punisher series is moderately close to the comic. Some key elements and storylines are retained, but there are also some variations to adapt to the medium of TV or film.
I think Eminem is a comic book fan. You can tell from some of his lyrics and the way he references comic book elements in his work and public statements.
One of the best is 'The Punisher: Born'. It delves deep into Frank Castle's origin story, showing his transformation from a military man to the Punisher. The gritty art and intense storytelling really bring out the essence of the character.
Overall, the Punisher adaptation remains relatively close to the comic book. It keeps the basic plotlines and the tough, no-nonsense image of the character. However, there are some changes made to fit the medium of TV or film and modern audiences.