Simple one: salt separating from water.
Entropy is salt mixed with water. evaporate the water, and you have salt and water, not the mixture, a lower level of entropy than the solution.
There are pretty complex crystals that are formed in nature, complex geological shapes, for example.
I admit, those are nowhere near as complex as biological systems, but they are counter examples.
Not sure those example really support your point. Salt mixed with water is not the lower level of entropy but the more complex. Now should the salt and water independently decide to mix and create the solution then that would support your point.