Here is a list of all the fleets by year that sailed from Spain to Nueva Espana (Mexico). It has complete list of ship names, captains, Admiral and by year that they sailed:
https://todoavante.es/index.php?title=Categor%C3%ADa%3AFlota_de_Nueva_E…
Type this in the pars website:
Registro: Despachos de Flotas