To clean soap film from tile, rub with lemon oil, white vinegar or 5% household bleach. Please do not ever mix bleach with other cleaning products as the fumes may be hazardous to your health.

Keep your mirror from fogging up and use your shaving cream to wash it. No more fog. 

Wax that bathroom mirror with car wax to avoid it fogging up.

White vinegar full strength cleans that toilet, tub, and sink.

Mildew on fabric can sometimes be removed by moistening it with lemon juice and salt. Leave the item to dry in the sun.

I heard that if you have tough soap scum, put shower on hot, close door and let the room steam for 15 minutes. Go back in and it easily wipes off.