Wow that is a long list of don't's, it's understandable why you are struggling! (biblical avoidance is especially difficult for international boys names- the most well used ones often tend to be Biblical: Samuel, Michael, Matthew, Adam etc).
You could go Roman style - Lucas or Felix (or maybe Rufus, not sure how international that is). Or classic Latinate - Benedict, Dominic or Laurence. Or maybe Greek origins - Theodore, Sebastian or Christopher? (even Nicholas is apparently briefly mentioned in the Bible!). Classic English names like Hugh, Wilfred, Edgar, Edmund etc don't tend to be very international.
Girls - Helena/Elena, Louisa, Lara, Laura, Olivia, Emilia, Sophia, Emma, Julia/Juliet (Julia briefly mentioned in the bible), Claudia (ditto), Isabel/Isabella, Maya, Gaia.