A good ash container is necessary for when you empty the ashes from your stove. The ash container is better than other objects (such as buckets, etc) because they are created to handle the heat of any ashes that may still be smouldering. You will still want to be sure that your ash container is placed in a safe spot until the ashes in it cool COMPLETELY before disposing of your ashes.
Fireplace Tool Set:
This may seem odd, as you have a wood stove, not a fireplace, but the majority of fireplace tools will come in handy with a wood stove as well. Most of the time it is a bit more practical money-wise to purchase a set instead of purchasing all of the tools separately.
Log Carriers, Baskets & Racks:
A log carrier will come in handy when toting your wood indoors from your wood pile. Once inside you will need a place to store the wood that you just carried in. The option of a log basket or a log rack is up to your personal preference. The only benefit to a log rack is that some of them are made to hold more than just your logs. Some log racks can also hold your fire tools that you will often need to be in reach of your wood stove.
Wood Stove Cookware:
The power is out and you are hungry. If you have a wood stove that has a cooking surface on it then so long as you have some wood stove cookware then you are set to make a meal. Cookware for a wood stove is typically cast iron. This makes the cookware more durable for use on a wood stove.