Assuming you have canned food and a mess kit in your cook stove kit. (otherwise what are you going to do with just a cook stove?)
For me I would want a water jug for drinking water, lighting, (I like those all in one hand cranked generator weather-radio with flashlight, etc as part of your day will be spent after dark), and a source of fire. (waterproof matches)
The water jug and matches would be inexpensive. The generator radio flashlight would be the more expensive item....but it does offer multiple use functions so it would be a value. The weather radio function would assure outdoor safety, and the other features make life more comfortable.
Hand Crank Phone Charger Emergency Generator Flashlight USB Re-charger Solar FM/Weather Radio. Is able to recharge Cell Phone. You can waterproof your own matches if you like and save money by doing that.
One could even use a couple of empty 2 liter Soda bottles for water containers.
Tee Light Candles can be inexpensive at Dollar Stores and some are Citronella (insect repelling)
Using an empty soda can cut open and pieces of wire from coat hangers will windproof these candles.
Very inexpensive source of light.
Water proofing matches can be easily be done by dipping the heads in melted wax (ether the strike on box or strike anywhere matches work) or by painting the heads with clear fingernail polish. After they are dry, store in an air tight container to keep them dry until needed. You can buy waterproof matches but they are expensive. Why not waterproof them yourself with stuff you may already have on hand.