While there is a profound pro-monarchy movement in Nepal, it is far from the only example of such movements. The best example of vocal pro-monarchism other than in Nepal is Thailand.
In Thailand, the previous monarch, King Bhumibol Adulyadej was particularly revered, and seen as a bastion of continuity in a country frequently riven by coups and political disorder. He was also the second-longest reigning monarch of all time, and the world's longest-reigning head of state (1946-2016). Though his son, King Maha Vajiralongkorn, has not quite reached the intense popularity of his father, there still remains a fiercely loyal base of monarchists in Thailand who support the institution.
Thailand royalists show support for king (2020):
Chanting ‘Long live the king’, royalists stage pro-monarchy
demonstration in Bangkok after protests demanding reforms of the
monarchy.
https://www.aljazeera.com/news/2020/10/27/thailand-royalists-show-support-for-king
Some European countries have seen pro-monarchy movements, particularly after the turbulent period following World War I and the end of three major European monarchies: the Russian Romanov dynasty, the German Hohenzollern, and the Austro-Hungarian Habsburg dynasty. In Germany, after the fall of the Hohenzollern dynasty, there was a popular movement formed of monarchists demanding the return of the monarchy, and an end to the Weimar Republic, under the German National People's Party. The movement remained popular until the rise of Nazism in the 1930s.
There was a considerable republican/monarchist rivalry in Italy following World War II, in which the country voted in a referendum on whether Italy should become a republic or a monarchy. After the country narrowly voted to form an Italian republic, the monarchist movement declined.
After first the decline of multiple monarchies in Europe, followed by the decolonisation after World War II, and the championing of liberal democracy, support for monarchies in Europe and the world wained further, aside from the constitutional monarchy of the UK, which still retains significant support for the monarchy, although its power largely symbolic.
Seven in ten Britons support Britain continuing to have a monarchy:
https://yougov.co.uk/topics/politics/articles-reports/2018/05/18/who-are-monarchists
An interesting case is the small European state of Lichtenstein, a democratic principality, whose small population has actually voted to give the monarch more power in recent years:
In a national referendum in March 2003, nearly two-thirds of the
electorate voted in support of Hans-Adam II's proposed new
constitution.
http://news.bbc.co.uk/1/hi/world/europe/2853991.stm
The princely family and the Prince enjoy tremendous public support
inside the nation, and the resolution passed with about 64% in
favour. A proposal to revoke the Prince's veto powers was rejected
by 76% of voters in a 2012 referendum.
https://uk.reuters.com/article/uk-liechtenstein-vote-prince/liechtenstein-votes-to-keep-princes-veto-idUKBRE86009220120701