Radish
Flea beetles often settle on radish leaves in preference to arugula, so a sacrificial row sown a week earlier can absorb the first wave. Pull and bin the beetle-riddled radish tops once they are chewed through, or the pests simply move over.
Lettuce
Alternating bands of lettuce and arugula break up the solid block of cabbage-family leaf color that flea beetles home in on, which can reduce landings. Both crops also want the same cool soil and steady moisture, so one watering schedule serves the row.
Spinach
Sown close together, the two low rosettes knit into a leaf canopy that shades bare soil, holds moisture, and crowds out early weeds. Cooler soil often buys a few extra days before either crop bolts (shifts from leaf growth to flowering).
Carrot
Arugula feeds in the top few inches while carrots drive a taproot well below, so the two draw water and nutrients from different layers. Cut the arugula at soil level rather than pulling it, and the carrot roots beside it stay undisturbed.
Nasturtium
Aphids often colonize nasturtium stems before they find the arugula, and the flowers draw in hoverflies and ladybugs that hunt them. Treat or remove the infested nasturtium shoots — a loaded trap plant left standing becomes a nursery.