Unfortunately award flights do not include any bags that do not fit under the seat in front of you. (rewardexpert.com)
If your pet is small enough, some airlines will allow you to take your dog or cat on board, provided that the carrier fits under the seat in front of you. (petwave.com)
Small birds can go in pet crates that fit under the seat of the airline if the owner wants their bird or birds to travel with them in the cabin. (petbusiness.com)