Potatoes, onions and shallots in a wooden box I made when I was in High School in pantry and out of the plastic bags..very dark.
Apples, oranges, Bannana's, mandarines, oranges in a fruit bowl. I was told that apples can ripen bannana's too quickly, so I have two tiered fruit basket that I keep the bannana's on top on their own.
Grapes in the fridge in tupperware.
Celery, Leak and spring onions in the fridge in tupperware.
Tomotoes in the crisper part of the fridge separate. Carrots, brocoli, cauliflour and corn in the cripser in the fridge.
Strawberries and Blue berries in the fridge, I don't worry about storage containers for these as they never last long enough in our house worry about that
When I purhcased my Tupperware Fridgesmart containers, they came with a handy fridge magnet guide explaining how to store. I use this alot with my Tupperware Fridgesmart containers.
Mushrooms I leave in the Mushroom bag and put them in my crisper, they seem to last OK doing this.

I take everything out of the plastic bags from the fruit and veg.

HTH