The Pitbull Boxer is one of the many new designer or crossbreed dogs we’ve seen popping up in the last couple of decades. This medium-sized dog is great for families, and those that love exercising but also want a dog that will cuddle up with them on the couch. Introducing the Bullboxer or the Pitbull Boxer mix. If you’re looking for a dog that will protect the little ones and help get their energy out, we’ve got the perfect dog for you.