Tomato
Open calendula flowers offer easy nectar and pollen to hoverflies, lacewings, and tiny parasitic wasps, and those insects often reduce aphid numbers on nearby tomatoes. Keep some blooms open rather than deadheading every flower if you want that draw.
Basil
Aphids often settle on calendula's sticky buds in preference to nearby basil tips, which can spare the leaves you actually pick. It only helps if you cut and bag the loaded flower heads instead of letting the colony build.
Carrot
Calendula's fibrous roots stay in the upper soil while carrots drive a single taproot straight down, so the two can share a row edge without fighting over water. Keep the flowers to the bed's border so digging carrots does not uproot them.
Asparagus
Gardeners have long tucked calendula along asparagus rows, though no mechanism has been demonstrated. It is a low-risk pairing: the flowers finish before the ferns close in, and shallow roots do not disturb the crowns.
Cucumber
Cucumbers need insects to move pollen from male to female flowers, and a nearby patch of nectar-rich calendula reliably draws bees into the bed. More bee traffic means fewer stunted, crooked fruit from incomplete pollination.