How to Make a Vanilla Frappuccino Martini - part of the Exotic Cocktails Series by GeoBeats. How to Make a Vanilla Frappuccino Martini - Exotic Cocktails Hi, my name is Samantha, and I'm a bartender at Cinema Paradiso, home of the world famous Fort Lauderdale International Film Festival. Had a long week at work? TGIF? Lunch break hour? I didn't say it. This is a good one; a Vanilla Frappuccino Martini. Starbuck's Frappuccino, chilled martini glass, Stoli Vanilla Vodka. Pour in your Frappuccino, top with vanilla vodka, and that's it. A good pick me up for the end of the work week.