Rising temperatures due to climate change combined with densification of urban centres is exposing cities and their inhabitants to urban heat island (UHI) effect. UHI has serious impacts on ecosystem and human health, causes deterioration of infrastructure and economic loss, decreases air quality, and increases energy consumption. There are various adaptation strategies to UHI and heatwaves that range from green, blue, and grey infrastructure to planning responses and behaviour of inhabitants. Among these green and blue infrastructure are the most common strategies followed by grey infrastructure. Despite the severity of its impacts, research on increasing temperatures generally focuses on measuring the magnitude, impacts, and examination of particular adaptation measures individually. No comprehensive overview of adaptation strategies for increased temperatures, heatwaves, and UHI exists. This article aims to fill this gap by exploring the advantages and disadvantages of each adaptation strategy and the barriers and drivers of their implementation through a systematic quantitative literature review. Overall, the literature indicates that green, blue, and grey infrastructures can be economic and efficient ways of mitigating UHI. In some cases, grey infrastructures are cheaper and more effective than green infrastructure which has higher maintenance costs.