I have three stoves, which I like and use for different things.
Coleman 535 Dual fuel
Durable, controllable flame, can run on bike gas, parts available in any town if needed. A red plastic Folgers coffee can makes a perfect carrying case
Heavy and a bit bulky, but not a big deal on a bike.
Coleman Exponent propane canister stove
Tiny, quick and simple to use. Great for fair weather backpacking or riding two-up when space is at a premium.
Works poorly in cold weather, canisters are expensive and not as easy to find.
Homade "Supercat" alcohol stove
Cheap, easy and fun to make out of a small cat food or similar can and something to make holes with. Light and tiny. Cheap, easily available fuel. Perfect as a backup or to make quick hot food or drinks.
Short burn time; just enough to boil a small container of water. Highly susceptible to wind. Easy to spill, so needs extra care taken.
"You wouldn't be riding a motorcycle if you weren't an optimist."
- Matthew Crawford
2005 Ural Tourist, 2000 Kawasaki W650