Still some of the best Batman comics you can get. Directly based on the Animated Series, these runs fleshed characters out even more and did right by them more often than the main universe ever did. Highly recommended from beginning to end.
The Batman Adventures: Vol. 1
The Batman Adventures 1–17
The Batman Adventures: Mad Love
The Batman Adventures 18–23
The Batman Adventures: Vol. 2
The Batman Adventures 24
The Batman Adventures Annual 1
The Batman Adventures 25–27
The Batman Adventures Holiday Special
The Batman Adventures 28–31
The Batman Adventures Annual 2
The Batman Adventures 32–36
Dark Claw Adventures 1 (Amalgam)
The Batman and Robin Adventures: Vol. 1
The Batman and Robin Adventures 1–12
The Batman and Robin Adventures Annual 1
The Batman and Robin Adventures 13–16
The Batman and Robin Adventures: Vol. 2
The Batman and Robin Adventures 17–24
The Batman and Robin Adventures Annual 2
The Batman and Robin Adventures 25
The Batman Adventures: The Lost Years 1–5
Batgirl Adventures 1
Batman: Gotham Adventures: Vol. 1
Batman: Gotham Adventures 1–22
Batman: Gotham Adventures: Vol. 2
Batman: Gotham Adventures 23–44
Batman: Gotham Adventures: Vol. 3
Batman: Gotham Adventures 45–60
Gotham Girls 1–5
Catwoman 89 (totally optional)
Batman Adventures
Batman Adventures 1–13
Batman: Harley and Ivy 1–3
Batman Adventures 14–17
You left out the movie adaptation of “Mask Of The Phantasm”. Which issues would it fit between? I would add that one and possibly leave out “Dark Claw Adventures” (though that one is a good addition).