In cultural consumption, higher social status is primarily reflected in the consumption of cultural products from diverse levels of sophistication, denoted as cultural omnivorousness. The article asks whether digital media are capable of attenuating these inequalities. Since digital media potentially make cultural products from all levels available to wider audiences, the distinguishing effect of omnivorousness might shrink. However, based on a model of individual decision-making, the article discusses several reasons why this assessment might be too optimistic. Empirically, the article focuses on omnivorousness and media use in feature film consumption. Differentiating between four types of electronic media (television, DVD, video on demand, Internet) and two types of omnivorousness (“by volume,” “by composition”), results reveal that digital media rather reinforce social inequalities in cultural consumption. Television, in contrast, has the highest levels of omnivorousness and the lowest levels of social structuration. Hence, not digital media are a democratizing force, but television.