Tomato
Garlic's sulfur-heavy leaves can help cover the scent trail that aphids and mites follow to tomato foliage, and its narrow upright column takes almost no room between staked plants. Expect a modest effect under light pest pressure, not a replacement for scouting.
Carrot
Interplanting the onion family with carrots often reduces how easily carrot rust fly and the flies that hunt alliums locate either crop, since each strong smell muddles the other. Results vary with how densely the rows are mixed, so treat it as a bonus rather than the whole defense.
Beet
Garlic runs a narrow column of fine roots straight down while beets swell in the loosened soil beside them, so the two share a bed without fighting over water. Garlic also comes out in midsummer, opening space just as beets size up.
Chamomile
Chamomile's small open flowers feed hoverflies, lacewings and tiny parasitic wasps, whose larvae work over the thrips that silver garlic leaves. Let a few plants bloom at the end of the row rather than crowding the bulbs.
Rose
Gardeners have long ringed rose bushes with garlic in the belief that its scent keeps aphids off the buds. The practice is harmless and garlic accepts the light shade at a rose's feet, but no controlled trial supports the claim.