The terms home appliances and household appliances are in common usage in the US to refer to large appliances such as refrigerators, stoves, washing machines, etc. As you show in the ngram, domestic appliances is much less common and would probably be considered old fashioned by most native speakers.
Further, the term major appliances is often used to distinguish large (and large ticketed) items, such as refrigerators, from smaller, countertop type appliances, such as toaster ovens and vacuum cleaners.
Housewares means something else. It refers to the much broader category of items that furnish, clean and maintain homes. Consider this list of subcategories from a major retailer that appear based on a search of their website for housewares:
- Bed & Bath
- Dining & Entertaining
- Furniture
- Kitchen
- Luggage
- Mattresses
- Cleaning & Organizing
- Gadgets
- Heaters & Fans
- Home Decor
- Irons & Garment Care
- Kids' & Baby Home
- Lighting & Lamps
- Outdoor Furniture
- Personal Care
- Rugs
- Slipcovers
- Summer Entertaining
- Vacuums & Steam Cleaners
- Window Treatments
While white goods and brown goods are used in trade circles and business analytics, they are not terms generally used by the average consumer or by sellers in their advertising. Ironically, most white goods are now more often finished in stainless steel than white enamel, and most brown goods are black or metallic finished.