There is a vast array of stoves from which to choose these days, and they will all bring water to a boil in a reasonable amount of time. I think I have used most major types at one time or another; for different circumstances, some are better than others. Dealing with major cold (-40F or so) you want a liquid fueled stove. Light weight? - alcohol, probably one of any number of home made varieties, or solid fuel (Esbit). Ease of use, adjustable flame,and reasonable weight - canister stoves.
If it weren't for the internet, I wouldn't know that there is a problem with stoves tipping over - I have never had that problem with any stove - just start with a stable base and exercise reasonable care. An effective wind shield and a decent lid on your pot are extremely important in obtaining cooking efficiency.
When all else fails, be sure you have the materials and skill to build a campfire out of available materials. It will be a bit fussier, but you will get to eat.
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Geezer in Chief