Here's what rhymes with euthanasia.

Consider these alternatives

abortion / portion legalize / size sterilization / relation legalization / relation legalisation / relation legalizing / rising legalising / leaving decriminalization / relation criminalizing / rising criminalize / size infanticide / side prescribe / right inhumane / main procreation / relation humane / main practise / practice opposes / roses palliative / retaliative embryonic / chronic