We usually always have nuts,seeds,hummus,baby peppers,baby cuecumbers,celery,melons,bananas,apples,red and green grapes,satsumas,nectarines,blackberries or strawberries,bagels,croissants,toasting muffins,crumpets,brown and white bread,things like jam,marmalade,marmite,honey,peanut butter,nutella,several types of cereal,yogurts,babybel cheeses,cheese spread,boursin,mature cheese,cream crackers and seeded ryvita,all of those get used as snacks/parts of meals(breakfasts,lunches,packed lunches)treat bits we have are crisps,biscuit bars,pink n whites,biscuits(some of those get used for packed lunches now and again)and anything I make(today it was macaroni cheese followed by banana and chocolate cake)scones,cheese scones,cheese straws,sausage rolls,fairy cakes,butterfly cakes,shortbread,flapjacks.I love baking but it is alot harder than buying it ready made because the homemade stuff tends to be gone within one day.
My parents never policed snacks for me or my 2 brothers and neither did my DH's parents with him and none of us go mad when it comes to sweet treats or junk food.