Alternately, you can use salt and lemon juice, instead of baking soda and vinegar, to create a scrubbing paste. Another common household alternative to baking soda and vinegar is rubbing alcohol, which can be applied via soaking, or simply by scrubbing the alcohol into the affected area of the plastic dish.

Bleach is a very caustic substance, and you should be sure to wear rubber gloves to protect your hands from contact with it. Also make sure the space you are working in is well ventilated, so that the fumes produced by the bleach are safely dissipated.

Lemon juice is another common household product which can function as a mild solvent, and is a good substitute for white vinegar.

Not all commercially available heavy-duty dish cleaners are appropriate for all types of dish. Read the packaging carefully, and familiarize yourself with your options before purchasing.

A common alternative for removing stains on china is 20% hydrogen peroxide solution, which is available in most pharmacies. Simply apply the solution to the affected area of the dish, then wash and rinse thoroughly.