Research assessments have been under growing scrutiny in the past few years. The way in which researchers are assessed has a tangible impact on decisions and practices in research. Yet, there is an emerging understanding that research assessments as they currently stand might hamper the quality and the integrity of research. In this chapter, we provide a narrative review of the shortcomings of current research assessments and showcase innovative actions that aim to address these. To discuss these shortcomings and actions, we target five different dimensions of research assessment. First, we discuss the content of research assessment, thereby introducing the common indicators used to assess researchers and the way these indicators are being used. Second, we address the procedure of research assessments, describing the resources needed for assessing researchers in an ever-growing research system. Third, we describe the crucial role of assessors in improving research assessments. Fourth, we present the broader environments in which researchers work, explaining that omnipresent competition and employment insecurity also need to be toned down substantially to foster high quality and high integrity research. Finally, we describe the challenge of coordinating individual actions to ensure that the problems of research assessments are addressed tangibly and sustainably.