Hi Mattia,
Good idea. I am currently working on NSC DR2 which will include another year of data and will have improved proper motions and possibly more variability information. Including earlier generations of MOSAIC imaging is challenging because of the larger number of filters used which would each need to be handled separately. But if there is a demand for this then I could spend more looking into it.
We currently have cross-match tables for DES, ALLWISE and LS DR4 and DR5. Gaia would be an obvious one to add. But for the others we'll need to ingest them first before we can make the cross-matches. By the way, if there are particular catalogs that you'd like to see in DL, then please let us know by sending an email to datalab@noao.edu.
Thanks,
David