Not sure if this even has a name (probably does as it's hard to create anything new these days)... but I crafted it one night for my fiance and she loved it to death.
1 1/2 shot Malibu Rum
1/2 shot Midori
1/2 shot Triple Sec
Shaken over ice and served in a martini glass.
Personally I just drink vodka martinis or scotch/cognac/whiskey/bourbon ... I create the drinks for her.