Most fruits and vegetables will last longer when refrigerated. Don’t refrigerate unripe fruits, instead leave them at normal room temperature for them to ripen. Chopped/ sliced or left over vegetables should be refrigerated. 

Some list of vegetables you should not refrigerate

Plum

Potatoes

Yams

Onions ( unless spring onions or scallions)

Tomatoes

Cassava

Peaches

Some list of vegetables you should refrigerate ( when ripe)

Grape fruits

Mangoes

Avocadoes 

Apricots

Berries

Bananas and plantains

Papayas

Pineapples

Pears

Melons