[shard]

In Korea, there is a special term for buildings like that, translating to basically "residential and commercial complex". Most cases are apartment high-rises with the first few floors dedicated to businesses, which can include restaurants, banks, doctor's offices, and private academies. Some are actually attached to malls. These apartments usually command premium prices due to 1. convenience, and 2. being typically of a higher quality than standard apartments. You can find them in city centers as well as suburbs.

[gyc]

I believe the English term is mixed-use building. They do sound pretty darn convenient.