Carrot
Carrots send a single deep taproot well below the pea's fine surface roots, so the two draw water and nutrients from different layers instead of competing. Both also prefer the same cool spring soil, so their timing lines up.
Radish
Radishes swell and finish in about a month, using shallow soil beside the pea row and clearing out long before the vines fill their trellis. Pulling them loosens the surface without disturbing pea roots.
Spearmint
Gardeners have long set mint near peas on the idea that its strong scent throws off aphids hunting by smell; the effect is not well demonstrated. If you try it, sink the mint in a buried pot or a separate container, because it spreads by runners and will overrun a pea bed.
Spinach
A pea trellis throws light shade on the row to its north side, which can hold spinach in leaf a week or two longer before late-spring heat pushes it to bolt (shift from leaf growth to flowering).
Lettuce
A low band of lettuce along the base of the trellis shades the soil surface, slows drying, and crowds out weeds while the pea vines are still climbing. Both crops want the same cool, evenly moist bed.