There are a large number of other international datasets that might be of interest, particularly in the field of education and health.
The International Adult Literacy Survey (IALS) is a direct assessment of the literacy and numeracy skills of adults in more than 30 countries, many of them OECD members.
The Programme of International Student Achievement (PISA) is a direct assessment of the reading, maths and science skills of students in the last year of compulsory education.
Other international studies of educational attainment are those conducted by the International Association for the Evaluation of Educational Achievement such as TIMSS and PIRLS which look at the literacy skills of younger cohorts of students as well as science and mathematics.
In the field of health there is the World Health Surveys, the World Mental Health Surveys and the Demographic and Health Surveys if your focus is on developing countries.