I mean, it's set one year after an alternate version of the first film. I don't really consider the Earth-616 stuff to be honest, that's just general adaptation stuff. The Appendix describes the differences, which is essentially the fates of certain characters and Frank being a Vietnam veteran.
Spider-Man: Friend or Foe (Earth-71002) is set after an alternate version of the Spider-Man Trilogy (Earth-96283) where the main villains didn't die. It features other heroes such as Nick Fury and Blade.
The Punisher (2005 Video Game) (Earth-50116) is set after an alternate version of The Punisher (2004) (Earth-58732) where the main villains didn't die. It features other heroes such as Iron Man and Black Widow.
Anyway,
Earth-58732
1991
January 10
Punisher: Countdown (pg. 1-9)
1993
June
Punisher: Countdown (pg. 10)
1997
September 20
Punisher: Countdown (pg. 11-16)
2002
August
Punisher: Countdown (pg. 17-20)
2003
???? (?)
Punisher: Countdown (pg. 21-22)
The Punisher: Extended Cut**
2012
????
The Punisher: Dirty Laundry
The comic places the movie in 2004, but the movie has 2003 gravestones, so the movie takes priority. Dirty Laundry isn't technically official, but like... no one is gonna complain, lol.