Originally Posted by
thatchernobylguy
I don't know the specifics for KLM, but for most flights, you can bring a dog under 8kg on board in a soft-kennel (Think baby-bjorn or duffel).
Also, I think if your dog is a registered service dog that doesn't nee a kennel you can bring onboard most carriers.
I've found Air France and Lufthansa to be especially hospitable when traveling with animals.
You still can on KLM but no pets are allowed in Business Class because with their lie flat seats there isn't any room to store their pet carriers. They allow pets in economy only.