The "ideal" rim width for any tire is the same as the tread width. This means that for a 6. 5" rim, the "ideal" tire would have a tread width of 6. 5". This can, and is often, deviated from. If the rim is wider, the tread will tend to cup (more load on outside of tread), and from an off-roader's standpoint will leave the wheel vulnerable. If the rim is narrower, the tread will tend to bow (more load on center of tread), and from an off-roader's standpoint will help to protect the wheels.
All tire manufactures will provide a "recommended" wheel size for their tires. For instance, the TSLs on my Sami have a tread width of 10", but the InterCo recommends an 8" wheel. The MT/Rs on my Ram have a tread width of 8. 5". Goodyear recommends wheels widths of 8" - 10". Technically, the stock 8" rims are barely wide enough for these tires.
All that being said, the largest tire I would put on the stock 6. 5" rim would be a 265/85, provided I could find one with the appropriate load rating. Most, if not all 265s would have a recommended minimum rim width of 7", but 85 profile should be tall enough to work reasonably well on a 6. 5" rim. "Technically" the biggest you should use would be a 255/85.