One of the popular drinks to make for receptions, socials, parties and other mixers is the celebrated fruit punch with Sprite. Slushy Peach Punch Our Best Bites. By adding sherbet, you get just enough sweetness to make it a punch … This Lime Sherbet Party Punch Recipe will add the perfect splash of green to any party!Serves approximately 22 one-cup servings. But it does need to be delicious! Rainbow Sherbet Punch is one of our favorite all-time sherbet punch recipes. Create your own theme to share your favorite recipes with notes, tips and useful links!