My all time favorite cook sets/ stove for normal bike/backpacking. The trangia cooking systems have been made in Sweden for 70 years or so. They are quite, simple, beautifully made and work well under most conditions. I wouldn't take one on a climbing trip unless I switched to their gas burner( available by spaceial order). The windscreen/ heat feedback system works great with both burners.
The 27-8 ultralight is the smaller of the two cook sets. Features two 1-liter hard anodized saucepans (1 graduated, 1 ungraduated), 7.25" frying pan, aluminum kettle (0.6 L), windshields (upper and lower), a burner, a pan grip and a strap. This set is not non stick.
At 4" thick this will just fit in a frame bag without causing a bulge.