Welcome to the forum. Search around there are a ton of posts about this and I'm sure a sticky somewhere. I can tell you for sure new 32s will fit with no rubbing - that is the largest stock tire offered. 33s will fit with no rubbing to slight rubbing at full stuff.
07 Jeep Green Rubi Unlimited, auto
Mods: Tuffy Cubby Storage Cover, Rugged Ridge grab handles, Shrockworks Sliders, Rock Hard Engine / Gas Tank Skids, Rhino-lined tub, Kilby Evap Can Relocation Kit, 16x8 Centerline Wilderness Series - Falcon Rims, 285/75/16 Interco SSRs, OME 2" HD Lift, PSC Diff Covers, Superwinch EPi 9.0, BulldogFab Rear Bumper, RedrockFab Front Bumper and skid