Indyfabz showed his equipment, here is mine from a five week trip that was a year and a half ago. Flew on an airline, I left the liquid fuel stove at home due to the hassle of prepping a stove for TSA inspections. This is for a solo trip. Larger group means bigger pots and pans, maybe another stove, etc.
Upper left to upper right:
Some aluminum foil, stove, pasta sieve (hold against pot when draining), shallow titamium mug that can also be used as a small pot, nested with plastic meauring cup, plastic bowl, plastic bottle with instant coffee.
Middle, left to right:
Antique can opener, cork screw, small wind screen, upside down small fry pan.
Bottom row:
Cheese slicer, spatula, another spatula, fork, spoon, paring knife with sheath, cutting board (former coffee can lid), wood spoon, pot lifter for fry pan, titanium coooking pot with lid, double wall coffee mug with lid.
Not shown:
Fuel canister(s), lighters and matches (usuually bring a disposable butane lighter or two, couple books of paper matches), a plastic shallow thing shaped like a pan that I can put warm water in and set a nearly empty stove canister in it to keep the canister warm enough that the stove works well. Some trips I bring a "bucket" that used to be the bottom part of a one gallon disposable plastic jug, probably from vinegar, weighs nothing and comes in handy for a variety of things.
The fry pan was from Ikea, I drilled out the two rivets to remove the handle, I pack a piece of paper towel over it to protect the non-stick surface and put it in a plastic bag. Fry pan, bowl and a bunch of other stuff here nests in the pot.
You could say that the bike water bottles (not shown) are part of the camp kitchen, they are used to carry your campsite water supply, etc. Touring, I use disposable one liter SmartWater or one liter Life WTR bottles, the one liter (and only the one liter) size bottles fit in a bike bottle cage nicely. Yes they are disposable, but I re-use them, I bring empty ones from home to use on my tours because they work great and I can carry three on my frame. The bottle under the downtube, I use a velcro strap to make sure that it stays in the cage.
Some of the gear above is in use in photos at the link that I posted above and repeat here:
will bike weight make a difference to an old guy like me?
ADDENDUM ADDED LATER:
Folded up bandana for a hot pad. For example to hold the sieve against the pot to drain pasta noodles.
And a 2 oz bottle of soap or scrubby pad for cleanup.