Oh dear, one of my 'luxury' food purchasers each week is cherry toms on the vine. Problem is that as soon as I see these I tend to eat them like sweets. So, I do store in the veg drawer of the 'fridge where they last a good 7-10 days. (I have a fridge that boasts that it is has a special lighting system (Harvest Fresh), which keeps veg and salad stuff for longer -and (do not understand the science), bu it seems to work for me.
If I kept a bowl of these toms, where I could see them each time I went into the kitchen (out of the fridge drawer), there is no way they would last the week.
Cannot say I have any more problems with keeping these items less time now than in the past. I do a supermarket shop once a week, eat salad as my main meal most days - everything lasts easily for that seven days, plus. Do store these items carefully, plastic packaging taken off as soon I receive them, use paper towels to line clip and lock boxes for lettuce leaves and spinach - then boxes in veg drawer in that fridge, cucumber wrapped in piece of kitchen towel. Bananas are kept well away from all other fruit.