Growing vegetables is a bit of a challenge for many people who newly move to a tropical climate. Even readers in subtropical climates struggle with growing vegetables in hot weather.
No wonder. Most of the vegetables we are familiar with are most comfortable in a European or North American climate.
We're all familiar with tropical fruits and exotic herbs and spices. But when growing vegetables in the tropics, everybody seems to fall back onto the usual lettuce/cucumber/tomato combo...
Now, you CAN grow those vegetables in the tropics. They are listed below, and the individual articles (once written) will help you with growing vegetables in hot weather.
But the best thing you can do if you want to grow vegetables in a tropical climate is to simply switch to growing tropical vegetables.
Follow permaculture principles: work with nature not against it and grow the vegetables that LIKE growing in your climate. It saves you so much hassle and bug problems and the harvest will be MUCH bigger.
Here's a (growing) list of vegetables to grow. (And seeing it only has a couple of links at this stage, I realise I should focus on this area in the near future...)