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We present a set of cognitive phenomena that should be exhibited by a generally intelligent system. To date, we know of few systems that address more than a handful of these phenomena, and none that are able to explain all of them. Thus, these phenomena should motivate a system's design, test its generality, and can be used to point out fundamental shortcomings. The phenomena encourage autonomous learning, development of representations, and domain independence, which we argue are critical for general intelligence.