Tomatoes
The biggest problem with storing tomatoes in the fridge is that the cold temperature begins to play havoc with the texture and makes the tomato mealy. Ever had a salad with that tomato that tasted mushy and practically had ice crystals inside it? Chances are those tomatoes have been in cold storage for a while.
Onions
Much like tomatoes, onions tend to become incredibly mushy or moldy if left in the fridge for too long. If the onion has been cut, then the layers begin the process of drying up even if you do wrap it up tightly. Also, cut onions tend to engulf the location it’s currently in with its smell, which is why a lot of wooden chopping boards make everything taste like onion after a while.