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You cannot, by definition, break down a non-trivial project into trivial parts without having at least 1 non-trivial part in there somewhere

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The non-trivial part might be combining the trivial parts. :)

This is a good point and something probably not caught in the estimation of the smaller trivial parts.

I think most software falls into this category these days. The majority of software based companies are automating processes that humans can or could do manually - they're just being integrators, linking things and tasks together in useful ways.

I don't have a statistic, but I'd be willing to bet the majority of code in existence is not algorithmic in nature.

I agree. I've been writing code for 20+ years. It's all been BPA code. Only once, very early did I do any complex algo.

BPA?

Business Process Automation

Right, and it will take potentially unbounded time.

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