The phrase "a little stack of" is correct and usable in written English.
It can be used to describe a small quantity or collection of items that are piled or stacked together.
Example: "On the table, there was a little stack of books waiting to be read."
Alternatives: "a small pile of" or "a few layers of".
"This is the full luxury," she said, amassing a little stack of products.
But there was one where I never would have known until I opened up a closet and saw a little stack of sleeping bags and blankets.
I think my attitude towards the sketchbook originates from when my grandmother gave me a little stack of very cheap notebooks.
Sailing back into Carlisle Bay, I can make out a waiter holding a tray of rum punches, a little stack of cold towels and yes, yes, there it is beside him – my hammock, calling like a siren.
I laid out the sleeping bag with a little stack of Nature for a pillow; then I had a meal at the restaurant, visited the lavatory and retired in the late afternoon for the night.
I am sitting here with a little stack of gift cards for meals and other things that we might need.
ML: The writing I did as a student -- the little stack of clips I had from The Economist and Wall Street Journal.
And I am still wondering about a concoction that the menu calls a soufflé -- the odd little stack of polenta, carrot and spinach served alongside the scallops and monkfish medallions.
At this point, I was ravenous and glancing nervously at the little stack of paper plates on the cooking island.
We handed over our little stack of passports: American blue, with gold trim and bald eagle, for our daughter and me; a similar blue for my husband, who is Serbian, but with the double-headed eagle of Yugoslavia.
What must Ms. Cruz have thought when they finally left the place, an hour before dawn, and she realized, looking up and down the avenue for a taxi, that she was just around the corner from her desk, her rubber stamps, her little stack of overdue notices?
