I do have a dog living with me, along with my two rabbits and two cats. When I first brought Anna, my adopted bunny, home from the Humane Society she actually didn't react at all to Kaya (the dog); she would approach Kaya and sniff her curiously, then go on her way. But she was terrified of the cats even though they ignored her completely. My other rabbit (Yofi) could have cared less about the cats or the dog when I brought him home. It all depends upon the rabbit as to what might or might not scare them.
With my dog, I could never trust her 100% with the rabbits. She's absolutely great with them when they are running around in the yard outdoors; if some sound frightens one of them and they bolt, she just ignores them. She's tried in the past to play with the bunnies, but gives up when she realizes they don't like to throw balls for her. And she even protected them once against a cat that was stalking them from the other side of the fence. But in the house it's a different story. She is never allowed to be alone with the rabbits - especially Yofi - when inside. She becomes very jealous of them and will growl terribly when they come near her. Yofi, of course, thinks this is great fun and will try and provoke her to no end...but even though Kaya knows she is absolutely not allowed to touch the bunnies, all it would take is one momentary lapse of this rule for a tragedy to occur. Kaya and Fritz, my younger cat of 12, are best of buddies. Fritz rubs himself against Kaya's chest and Kaya will lick him on the head. Yet a couple of years ago during a family get-together, my sister brought her dog over. Even though Lassie's been to my house many times, for some reason she decided that day that it would be fun to chase Fritz, who had just walked into the living room. Fritz became upset and ran toward the door, and Kaya, seeing the excitement, joined in the chase. Fritz became cornered and in the meleé the 'pack mentality' took over, and the two dogs began a serious attack on him. Luckily I managed to get to the door and open it so Fritz could escape serious injury. The scariest thing about this incident was that it happened so suddenly - without warning - and it happened in a matter of seconds.
Anyway, even with the most docile of dogs, I would tend to be cautious; instinct may only be a 'trigger' away.