import arcpy
#Set workspace environment to geodatabase
arcpy.env.workspace = your_gdb
#Get list of feature classes in geodatabase
FCs = arcpy.ListFeatureClasses()
#Loop through feature classes in list
for FC in FCs:
#List fields in feature class
fields = arcpy.ListFields(FC)
#Loop through fields
for field in fields:
#Check if field has domain
if field.domain != '':
#Print feature class, field, domain name
print FC, field.name, field.domain