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think a good natural control is companion planting, plant flowering plants like marigolds that engourage perdator insects in between your other plants. think the type of companion plant depends on the nasty bugs but info on this is pretty widely available
Just an addition here, but if you use a soap based solution (soft soap is best I've found) you must make sure it is spayed underneath and on top of all the leaves etc because, unlike systemic pesticides, it works only by contact with the bugs. The other good thing about soap solutions is that you can use them as often as you like (just don't forget to rinse fruit/veg you've sprayed before you eat it or it'll taste odd !)
If you are short of ladybirds, then the washing up liquid solution works really well.
How big is the problem? Sara-venn is spot on with the ladybird/wasp angle that has to be first port of call. I only have a smallish space at present and so rub them off with fingers every couple of days. It also helps search for various vegie-larvae too!
The most natural way is to encourage beneficial insects like ladybirds into the garden to eat them and to ensure your plants are strong and well nourished so the attack isn't fatal! You can get rid of them by hosing the plants where they are or spraying them with a weak solution of washing up liquid, but make sure you don't do that on a sunny day or your plants will scorch. If you want to resort to chemical warfare there are now several organic sprays that you can buy at any garden cxentre which work very effectively as long as you use them every few days. Hope that helps