As Mr Al points out, I should have called that highly simplified three-terminal model "simple" instead of "ideal". It does have settable open-loop gain and GBW, so if you want to approach "idealness", make those numbers as big as you want. Its input bias current is ~zero. Its offset is ~zero. Its input common-mode range is ~infinite. Its input capacitance is zero. Its output impedance is ~1Ω.
Still, it is useful for a quick and dirty evaluation of lots of circuits, like active filters. Lacking power supply connections means its quick and easy to deploy. That prevents its use in any circuit that depends on what happens if the output of the opamp runs into limits imposed by the rails...
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