With the stock lift, you can go as high as 35" tires. I wouldn't take it off-road, however. You will probably rub the lower control arms unless you change the wheels to ones with 4.5" backspacing or less. Stock wheels have 6.75" backspacing, I believe.
If you want to keep the stock wheels, put some wheels spacers on (recommend 1.5" spacers). That will get your backspacing down to about 5.25", close but not perfect.
At 1.5" of lift and 35" tires, you can take it off-road, but be sure to have extended bumpstops.
At 2.5" of lift and 35" tires, you can take it off-road (again with extended bumpstops) and do very well.
At 2.5" of lift and flat fenders, you can fit 37" tires (again again with extended bumpstops) and rock that ****!
2008 2-dr Rubicon, auto,
RK 2.5" Max Travel lift, Fox 2.0 shocks, 37" Nittos, 5.38's, River Raider skids, Warn VR8000-S.
RIPP Gen 2 Stg 2 Supercharger.
Re-inventing the circle and straight line.