Cultural evolution can provide a useful framework to understand how information is produced, transmitted, and selected in contemporary online, digital, media. The diffusion of digital technologies triggered a radical departure from previous modalities of cultural transmission but, at the same time, general characteristics of human cultural evolution and cognition influence these developments. In this chapter, I will explore some areas where the links between cultural evolution research and digital media seem more promising. As cultural evolution-inspired research on internet phenomena is still in its infancy, these areas represent suggestions and links with works in other disciplines more than reviews of past research in cultural evolution. These include topics such as how to characterise the online effects of social influence and the spread of information; the possibility that digital, online, media could enhance cumulative culture; and the differences between online and offline cultural transmission. In the last section I will consider other possible future directions: the influences of different affordances in different media supporting cultural transmission; the role of producers of cultural traits; and, finally, some considerations on the effects on cultural dynamics of algorithms selecting information.