Eurostat: Migration and migrant population statistic. (On this website, you can find many main tables as screenshott. If you use the links below the tables furthermore, you can see the dataset in form of a table on the website of Eurostat) See: http://ec.europa.eu/eurostat/statistics-explained/index.php/Migration_and_migrant_population_statistics
Another way: You can visit the website of Eurostat database and choose between various cross tables. See: http://ec.europa.eu/eurostat/data/database
There's no direct link, you have to click in the following way:
Data Navigation Tree => Database by themes => Population and social conditions => Demography and migration => try Immigration and emigration.
There's also a possibility of downloading individual datasets or the complete database by using by using the bulk download facility. See: http://ec.europa.eu/eurostat/data/bulkdownload
Last not least: You can get access to microdata. See: http://ec.europa.eu/eurostat/web/microdata/overview
Good luck with your research project and kind regards, Detlef