I have the same year and model vehicle and if I remember correctly, stock tires were Goodyear 225/75/R16 which I changed to Nokian AT 235/70/R16. No ride difference due to size but Nokian tires had much better grip in all conditions compared to the Goodyear tires. Size slightly impacted speedometer and odometer. I think speedometer registered about 73/74 mph but was actually traveling 70 mph. Over course of a couple years, I think odometer racked up about 700+ extra wrong miles. Switched back to stock size with some Toyo Open Country AT tires and have liked those very much with what I'd consider expected wear over the past couple years.
2005 Wrangler Unlimited (LJ) - Automatic
2005 Liberty Renegade Rocky Mountain Edition
2006 Wrangler Unlimited Rubicon (LJ) - Manual