Bananas and the fridge are a no-no. Bananas, like many other fruits, ripen at room-temperature. The moisture and cold air in the refrigerator will cause the bananas to go rotten.
Berries do well at room temperature as well. The moisture from the refrigerator can lead to soft, mushy berries…especially raspberries.
Tomatoes placed in a cold refrigerator develop a mealy texture that occurs from the cold air and moisture. To get the best flavor from tomatoes, allow them to sit on the counter at room temperature.