Mocktail & Virgins
Cocktail Classic without alcohol are called mocktails or Virgin. We live modern and it does not always have to be alcohol. Especially if you want to enjoy a cocktail for lunch, for example, this fits perfectly. Even if you want to do without alcohol completely, but still want to enjoy a cocktail instead of just a juice, a virgin mocktail is the better choice.
Incidentally, a mocktail is a joking neologism that refers to the non-alcoholic equivalent of a well-known alcoholic cocktail. Mocktail is a portmanteau word composed of "cocktail" and the English word "to mock".