The following planting guide is an abbreviated list for vegetables, fruit trees and some culinary herbs that can be planted in May in Australia and New Zealand. A comprehensive monthly guide that includes planting times for the entire garden, as well as when to fertilise, prune, weed, take cuttings or divide plants, can be found in my book Easy Organic Gardening and Moon Planting.
WARM CLIMATESouth of Rockhampton
Before the Full Moon, bulb fennel, open-headed Chinese cabbage, grain crops, lettuce, mizuna, radicchio, rocket, silver beet (pre-soak seed), spinach, tatsoi, chamomile and coriander can be sown directly into beds, also a green manure crop of barley, cereal rye, chick pea, white clover, faba bean, field pea, cereal rye, Japanese millet, oats, triticale, or wheat. Leek and spring onions can be sown or planted out.
During First Quarter phase, broad beans, and peas can be sown directly into beds.
During Full Moon phase, radish, turnip and garlic can be sown directly into beds, also potato north of Brisbane. Early season onion and watercress can be sown or planted out. Olive trees can be planted.

WARM CLIMATERockhampton northwards
Before the Full Moon, bulb fennel, open-headed Chinese cabbage, grain crops, lettuce, mizuna, radicchio, rocket, silver beet (pre-soak seed), spinach, tatsoi and coriander can be sown directly into beds, also a green manure crop of barley, cereal rye, lablab, oats, or triticale. Fast-maturing celery, headed Chinese cabbage, leek, silver beet, spring onions, parsley, and chamomile can be sown or planted out.
During First Quarter phase, bush and climbing beans and peas and sweet corn can be sown directly into beds, and pumpkin, rock melon, summer squash, tomato, watermelon and zucchini can be sown or planted out.
During Full Moon phase, beetroot (presoak seed), carrot, radish and swede can be sown directly into beds, and evergreen trees, shrubs, and vines can be planted.

TEMPERATE CLIMATE
Before the Full Moon, open headed Chinese cabbage, lettuce, mizuna, spinach and tatsoi can be sown directly into beds, also a green manure crop of faba (broad) bean, field pea, barley or oats. (Cereal rye can be sown in frost-free areas.) In frost-free areas, grain crops, lettuce, radicchio and spring onions can also be sown or planted out.
During First Quarter phase, fast-maturing broccoli, broad beans, peas and chamomile can be sown directly into beds in frost-free areas. In frost areas, delay sowing broad beans and peas until June. Although the plants are frost-hardy, the flowers are not.
During Full Moon phase, radish, turnip, and garlic can be sown direct, and early season onion can be sown or planted out. In frost-free areas, strawberries can be planted out.

COOL CLIMATE
Before the Full Moon, suitable lettuce and spinach can be sown directly into beds, also a green manure crop of faba (broad) bean or field pea, oats, or triticale. Spring onions can be planted out.
First Quarter phase: broad beans and peas can be sown directly into beds in late May. Avoid sowing broad beans and peas too early in frost areas. Although the plants are frost-hardy, the flowers are not.
During Full Moon phase, radish can be sown directly into beds, and early and mid season onion can be sown or planted out. Garlic can be sown in warmer areas, and raspberry and currants can be planted from mid May.