If you have the Resume feature enabled, then it should work for all applications.
OS X stores data in <user>/Library/Saved Application State, in subfolders based on the app's name, e.g. com.adobe.acrobat.
A common technique to turn off Resume is to Lock these folders.
You can create a brand new user account and see if the problem persists there. If not, then it's definitely a user setting in your old account. Go back and investigate other parts of the user Library folder.