I am looking for binary systems data that can be used in the context of Kepler's laws. Masses, distances, periods, etc.
Try to read this paper
You can find links to systems with orbits and accurate fundamental parameters there. Some of them calculated on the base of third Kepler's law.
where you can request data for orbit plotting.
Maybe my question How to plot orbit of binary star and calculate its orbital elements? at Astronomy.SE will help you too.
You could also try the VizieR online catalog of astronomical databases
Put "binary stars" in the search box and you will find many databases, many of which will include the sort of orbital parameters you are looking for.