(1) Background: To explore the effects of the 2008 economic crisis on maternal, perinatal and infant mortality in Greece and the socio-economic determinants associated with them; (2) Methods: The annual rates of stillbirth (SBR), perinatal mortality (PMR), infant mortality (IMR), neonatal mortality (NNMR), post-neonatal mortality (PNMR), low birth weight (LBW), and maternal mortality (MMR) were calculated for the years 2000-2016. Average Annual Percent Changes (AAPC) were calculated by the period before and after 2008. The expected rates of 2009-2016 and the observed-to-expected rate ratios (RR) were calculated. Correlation and multiple linear regression analyses were used to test the impact of socio-economic variables on health outcomes; (3) Results: A reverse in downwards trends of PNM, IMR, and NNMR is observed since 2009. All observed values of 2009-2016 were found significantly higher than the expected ones by 12-34%. All indicators except SBR were found negatively correlated with GDP and DHI. A positive correlation was found between IMR, NNMR, and LBW and long-term unemployment, and no association with public health expenditure; (4) Conclusions: Economic crisis was associated with remarkable adverse effects on perinatal outcomes and infant mortality, mainly determined by long-term unemployment and income reduction. The findings stress a need for interventions to protect maternity and child health during crises.