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We present 48 further examples, in addition to the 10 identified in [1], ofghost-and-tachyon-free critical cases of parity-conserving Poincar\'e gaugetheories of gravity (PGT$^+$) that are also power-counting renormalizable(PCR). This is achieved by extending the range of critical cases considered. Ofthe new PCR theories, seven have 2 massless degrees of freedom (d.o.f.) inpropagating modes and a massive $0^-$ or $2^-$ mode, eight have only 2 masslessd.o.f., and 33 have only massive mode(s). We also clarify the treatment ofnonpropagating modes in determining whether a theory is PCR.

Power-counting renormalizable, ghost-and-tachyon-free Poincar\'e gauge theories