MIUI is Xiaomi's own custom Android interface which runs on most of their devices by default. It's getting updated on a weekly basis and its development is very community-oriented. All news, suggestions and feedback are posted and collected on the MIUI forums and testing is done by the community as well. As a result, there are updates every week, consisting of bug fixes and new features. MIUI receives a major update once a year, in a similar fashion to Android itself. The design of the UI differs from Google's Material Design and resembles iOS to some degree.
All Xiaomi devices sold in Mainland China come with this type of ROM out of the box. It supports Chinese (Simplified and Traditional), Tibetan and English languages. It doesn't have Google Play Store or any Google services pre-installed because Google services are blocked in China. Instead, it comes with Baidu, Weibo and other Chinese counterpart apps and services.
Xiaomi devices that aren't bought in Mainland China come with Global Stable or one of its variants out of the box. It supports a lot of display languages and comes with Google services and apps pre-installed, no Chinese apps here.
Most Xiaomi devices that are bought in the European Economic Area come with this type of ROM out of the box. It is a variant of Global Stable, tailor-made for the European market. It comes with Google services and apps pre-installed. As far as updates go, it's slightly behind Global Stable.
Xiaomi devices sold in Russia come with this type of ROM out of the box. It is a variant of Global Stable, tailor-made for the Russian market. It has Google services and apps pre-installed, as well as some Russian apps and services. As far as updates go, it lags behind Global Stable by a significant amount.
Xiaomi devices sold in India come with this type of ROM out of the box. It is a variant of Global Stable, tailor-made for the Indian market. It has Google services and apps pre-installed, as well as some Indian apps and services. As far as updates go, it lags behind Global Stable.
Xiaomi devices sold in Indonesia come with this type of ROM out of the box. It is a variant of Global Stable, tailor-made for the Indonesian market. It has Google services and apps pre-installed, as well as some apps and services popular in Indonesia. As far as updates go, it lags behind Global Stable.