Almost all species will bite/nibble, but mostly only when some smell of food is on your hands during maintenance. I find that the biggest and smaller species' bites hurt the most, but any nip can pack a punch if they get your arm/back of your hand. lol
One species that seems to like biting whether it smells food on you or not is Eurycotis lixa. This roach will literally bite me about 75% of the time I hold it. LOL