Clearance is a function of the bike's geometry, crank length, bottom-bracket width, tire width, and pedal design. So it's difficult to talk about a single number that takes all these variables into account.
The number that we look at in the frame's geometry is "bottom-bracket drop," which is how far the centerline of the BB is below the centerline of the hubs. This is usually about 70 mm for road bikes. I've never seen it as high as 80 mm.
There are other factors that play into stability too: head angle, trail, wheelbase, probably some others.
[added later]
The other consideration is the type of riding you're doing. Clearance determines whether you can pedal through a turn when leaning over without striking your inside pedal. If you're on a touring bike, maybe you don't need to pedal through turns at all. On a track bike, you absolutely do need to pedal through turns, and you're on a banked track to boot. So track bikes need a lot more clearance.