Which ones would those be? I am just asking you how all those layers could be preserved through hundreds of millions of years of constantly changing climate.
You are equating your model of steady, undisturbed deposition over millions of years with the observation of the strata.
And your claims about undisturbed deposition is a strawman. If you study a formation closely, you see paraconformities, or shifts in depositional environments due to either sea level change or lifting or dropping of platforms. When you step back, it looks like one uniform formation, but when you get your face right in front of the rock, you can see them clearly.
Also, erosion by its very nature leads to a flat surface. If you hike in the Wind River Range (I have), at 12,000 feet there is a level peneplain - when the Rockies were eroded to a near-level surface and later uplifted to their current elevation. So your observation about generally flat surfaces between formations is basic physics when the gradient goes away.
Oh, and there were hundreds of millions of years without ice ages - from the Silurian to the Pleistocene.