While I don't own any big dogs, my two have been around my family's large dogs. They've been around a black lab, golden retriever, and two large lab mixes without any trouble. That said, I do watch closely and my family members' dogs are all full grown, respectful dogs. I have thought about adopting a chocolate lab once my skin kid moves out of the house (he's only a high school sophomore), but I think my selection would have to be very careful.
Actually, Mojo seems to enjoy large dogs much more than small ones, with the exception of Maci, of course.