This paper synthesizes the characteristics of university rankings that cause pressure or 'harassment' on universities and analyses possible strategies for action that can be carried out in the real context of the three main university rankings (QS, THE, ARWU), suggesting the consequences for the so-called world-class universities and others (which represent 95% of the total). Although there is controversy over the criteria of the university ranking systems, many universities are establishing strategies aimed at adapting to these criteria and indicators and improving their positions. This study concludes that international university rankings should not be a relevant source of information to consider the quality of universities because this can have a negative impact on the development of medium- and long-term policies in higher education and the universities themselves. Universities should concentrate on their mission and must provide valid and reliable information to all stakeholders about the level of achievement of their goals.