Tomato
A parsley plant left to flower in its second year opens flat clusters of tiny blooms that feed hoverflies and small parasitic wasps, and those insects often reduce aphid numbers on nearby tomatoes.
Asparagus
Gardeners have long tucked parsley along the edge of an asparagus bed, where it fills open ground between crowns. No mechanism has been demonstrated, so keep it at the row edge to avoid disturbing asparagus roots when you pull spent plants.
Chives
Carrot fly finds its hosts largely by smell, and the sharp onion scent of a chive clump can help hide a young parsley row under low pest pressure. Treat it as a supplement to fine insect mesh, not a replacement.
Carrot
Old charts keep these carrot-family cousins side by side because they want the same loose, evenly moist soil. Be aware they also share carrot fly and leaf spot, so cover both with the same mesh and give each its full spacing.
Rose
Parsley is said to protect roses from aphids, a pairing repeated in cottage-garden books without supporting trials. The one real benefit comes later: if you let a plant flower, its blooms draw in hoverflies and ladybugs that do eat aphids.