A few quick thoughts.
You should look into TRIZ, which seems to be related to your idea, albeit it is mostly related to engineering (however, proponents of TRIZ try to apply it to other domains). Basically TRIZ is a collection of common engineering trade-offs that are arranged into a contradiction matrix and a set of advice how to come up with workarounds, called 40 Inventive Principles (How to use it? You are supposed to formulate your problem as a trade-off, find a relevant cell in the contradiction matrix, and look the numbers up in the list of 40 principles). However, taking the outside view, you should note that TRIZ is still relatively unknown outside the former Soviet Union. If it was as useful as it is sometimes claimed to be, wouldn't it be very popular by now? Or was it cultural barriers that prevented it from spreading? Frankly, I don't know.
In statistics, there is a well known Bias–variance tradeoff, which affects a wide range of situations. The trade-off between the goodness of fit of the model and its complexity (4th item in your list) is somewhat related (though not identical) to it.
A general pattern. Some trade-offs are due to Berkson's paradox, because sometimes the situation we have is "prefiltered" by the past, and we can observe negative corellations between variables even though they are not intrinsically negatively correlated. A special case: if we can do both X and Y, but that requires resources and we have a fixed amount of resources, then the decision how much X and how much Y should be done becomes a trade-off.
Closely related example is the trade-off between quantity and quality, e.g. r/K selection theory.
You should look into TRIZ, which seems to be related to your idea
I hadn't heard of this and it's interesting. Thanks. In what context did you find it?
In statistics, there is a well known Bias–variance tradeoff, which affects a wide range of situations
I have it subsumed under Precision vs Simplicity; I'll make this explicit in the next iteration.
...A general pattern. Some trade-offs are due to Berkson's paradox, because sometimes the situation we have is "prefiltered" by the past, and we can observe negative corellations between variables