I guess my parentals and I are one of the lucky few.

We had three females Treasure (GSD), Trixie (one of her pups, GSD/Rottie mix), and Little Dog (Yorkie) and none of them have ever had a fight. Treasure was definitely alpha. Treasure has since passed away and Willy (Doxie/Bassett Hound) has come to live with the parentals. He is so passive and doesn't really care who's dominant. Trixie likes to initiate play by throwing her paw on Willys back and he really hates that. Willy does growl like he wants to do something about it but 1) he never does and 2) she thinks he is playing so she just does it until she is told to stop. Trixie will also do that to Little Dog and L.D. will just bite her and hold on. Trixie will parade around like that until she jumps down and runs off.

I think Trixie has taken alpha position. She takes everything in stride, though, so nothing goes on, really.