Malibu Rum has some vegan options

From their FAQ (https://www.maliburumdrinks.com/uk/faq/, retrieved February 2022)
"Malibu Original (Coconut): We do not add animal derivatives into our products, however, one of our sugar suppliers uses a process that is not considered vegan-friendly. While this is a common practice in the sugar industry, it unfortunately also means we are unable to call Malibu Original (Coconut) suitable for a vegan diet.

Malibu other products: The other products in our portfolio are however considered to be suitable for a vegan diet."

From their FAQ (https://www.maliburumdrinks.com/uk/faq/, retrieved May 2021)

"We do not add animal derivatives into our products, however, one of our sugar suppliers uses a process that is not considered vegan-friendly. While this is a common practice in the sugar industry, it unfortunately also means we are unable to call Malibu suitable for a vegan diet."

Company email (August 2014):
"Malibu is indeed suitable for a vegan diet, no animal products are used in the manufacturing of Malibu."

Company email (June 2014):
"To answer your question, Malibu Rum is acceptable for a vegan diet. There are no animal or fish products used in the manufacturing of Malibu. This is also true for the different varieties of Malibu products."

Company email (circa 2009):
"There are no animal products used in the production or filtration of our Malibu Rum product."