I don't use Premiere much anymore, but aside from the obvious desaturation of the animation, I'd try adding a touch of gaussian blur, and then a little bit of noise. If you have access to AfterEffects or Combustion, then your job is much easier, as there are tons of filters and FX available for simulating things like "screen flicker", artifacts, and jitter that make it look like authentic old film. Premiere might actually have some of those effects too if I recall, or perhaps I'm thinking of Sony's Vegas Video.

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Tools :  3dsmax 2015, Daz Studio 4.6, PoserPro 2012, Blender v2.74

System: Pentium QuadCore i7, under Win 8, GeForce GTX 780 / 2GB GPU.