Think I'm going to do the same. I'm a poor sap rabbit hole reader. I start with a title and branch into a franchise. Green Lantern turned into the whole line. Bat and Supes turned into their whole lines. I'm using Convergence as a jumping off point to stop reading some stuff which quality wise isn't up to snuff.
Keep
JL
Batman
Green Lantern
Action Comics
Batman/Superman
Sinestro
Dropped/Cancelled
GLC
GLNG
Detective Comics
Batman and Robin
Superman
Superman/Wonder Woman
Justice League United (creative team depending)
Grayson
Add
Green Lantern Lost Army (cautiously)
JLA