The performance of H2PFI is constrained by low volumetric efficiency and combustion anomalies including pre-ignition, backfire and knock. The current study presents a systematic literature review of studies on the H2PFI SI engine sourced from the Scopus and WoS databases from 2014 - 2024. A flame arrestor can prevent flames from travelling back into the intake manifold. By reducing spark plug tip temperature, exhaust valve surface temperatures, retarding spark timing, delaying fuel injection, cooled EGR, water injection, increasing compression ratio, increasing injection pressure, retarding intake valve opening timing and lean burn, H2PFI SI engine combustion anomalies and emissions can be mitigated. The combustion and performance of the engine can be enhanced through controlling the injection strategies. Water injection and EGR techniques are found effective in reducing NOx emissions. The use of zero-carbon fuels such as ammonia can be blended with hydrogen to increase the energy density of the mixture thereby increasing the volumetric efficiency. Ammonia can be blended with hydrogen to modulate flame speed, heat release rate, and mitigate engine knock. Similarly, the use of nanoadditives and catalysts to optimize hydrogen ignition properties and enable more controlled combustion is a promising research direction for H2PFI SI engines.