AFAIK, there are only two purely lunar calendars in historical use. The #LunarHijriCalendar (AKA #MuslimCalendar, #ArabCalendar) is a straightforward cycle of 12 months; it is adapted from an older lunisolar calendar which dropped leap months when #Muhammad ruled you can't add extra months.

The traditional calendar of the Kazakh nomads is also purely lunar. Months directly match the lunar cycle, and the year begins when the new moon aligns with Polaris and the Pleiades.

2/2