What cocktails can I make that contain vodka as a base, with Cointreau, crème de framboise, simple syrup, lemon, and lime?

Based on the ingredients you have on hand—vodka, Cointreau, crème de framboise (raspberry liqueur), simple syrup, and citrus fruits like lemon and lime—the Raspberry Martini might be an excellent choice for you. This cocktail perfectly marries the crispness of vodka, the sweetness of raspberry liqueur, and the added depth of sugar syrup. The fresh raspberries would further enhance the drink's flavor, though it's not strictly necessary. Its high rating of 4.91/5 underscores its popularity and quality, making it a stellar choice for anyone with a sweet tooth.

Another delightful option that uses both vodka and Cointreau, along with lime juice, is the Cosmopolitan. With a slightly lower alcohol content and a sophisticated, tangy blend of flavors, this cocktail boasts a rating of 4.82/5. It's a classic for a reason, with its perfect balance of tart cranberry juice, lime juice, and the orange essence of Cointreau harmonizing beautifully with the vodka.

Lastly, if you're up for trying a cocktail with a unique fruity twist, the Rasberripolitan could be a fun choice. It includes raspberry vodka, Cointreau, lime juice, and cranberry juice—all of which you have on hand (or can easily substitute). This cocktail rates at 3.86/5 and adds a playful berry note to the more traditional Cosmopolitan profile.

With these fantastic options, you're sure to find a cocktail that suits your taste perfectly. Enjoy mixing and sipping!