Is there any non-christian/pagan Byzantine art?

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Sure, portraits of their emperors

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You'll find the occasional secular or classical scene.
Here's a hunting scene from Palermo.

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And the Veroli Casket made during the Macedonian Renaissance.
It emulates classical sculpture complete with Greek mythological figures and narratives.

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This cup is also from the Macedonian Renaissance.
The figures are strikingly similar to the style of an ancient Greek vase painting.