We've got news for you: You're using your fridge wrong, at least when it comes to these foods.
For example: Bananas. Big bananas, little bananas, doesn't matter. If they're unripe, they should be hung on a banana hook on the counter to ripen. Once they're ripe, feel free to put those bananas in the fridge; that'll prevent further ripening.
Cake is delicious; it's not a lie. It's even better if you keep it out of the refrigerator, which can dry it out or make it taste funny. Your typical ganache or buttercream cake lasts around three days at room temperature, in an airtight container.
Some berries just go rotten whether they're refrigerated or not. But sometimes, chilling them can make the rotting process happen even faster. It's best, instead, to keep them in a bowl on the counter...and eat them pronto.
Basil, of course, is a summer plant, so it's no surprise it hates the chill of the fridge. Also, it absorbs fridge smells. Keep it -- and most other herbs, come to think of it -- in a bud vase on the counter.
In text messages, placing an eggplant in the wrong place can cause problems. (Sorry, Granny!) Life mimics tech, in this case. Keep real eggplants out of the fridge and on the counter until you're ready to whip up a culinary sensation.