Was the new lamp clean? Did you touch the glass with your fingers?

I would assume projector lamps would have similar issues to halogens (if they aren't actually halogen).

That burning may be something on the lamp or some protective coating. If the burning smell was normal I'd expect a note in the install instructions about it.
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Christian
#40104192 120Gb (no longer in my E36 M3, won't fit the E46 M3)