Pawpaws (or papaya or paw paw or the multitude of other names it goes by!).
The general advice for growing pawpaws in South-East Queensland seems to be to make sure the soil is enriched with garden lime, plant in rich soil in a northerly facing location on gently sloping ground.
Try varieties such as Aussie Southern pawpaw, Lecker, Chiang mai orange and Thai Gold cultivars for the best flavour. Use bisexuality plants for the best results.
When the trees get too tall, chop them off where the trunk marking start to grow closely together (woody stem) and cover the top. The pawpaw should regrow well.