i only encountered one bear in the states while stealth camping. i was in woods, less than 50 yds from the road and in georgia of all places! never expected to find bears in the south.
it was just walking through and probably wouldn't have stopped if i hadn't started making noise and shouting. it came over to take a look at me for what felt like forever, then calmly sloped back off into the woods. i slept in the same spot and had no more encounters all night.
i had a far scarier encounter with a coyote on a proper campsite in california though. it ended up ripping my rucksack to pieces and carrying off a bag of food i had in there. that was terrifying as i was in my tent just by it.
but the biggest problem of all was raccoons. they NEVER give up!!!