A good name for a massage business is one that is unique, looks good on different types of media and appeals to the target market for the business. Also consider the different ways the business name and logo could be perceived.
For a massage business specifically, a name that evokes feelings of comfort and care would be good. Planning for the future must also be considered. A name that limits the scope of the business or its geographical reach should be avoided. In the future, if the business is expanding and must change its name to accommodate new functions, a name change could have a negative impact on the familiarity of the business and thereby lose some of its accumulated "goodwill" or popularity.