Baskin Robbins

According to their website, the majority of their ice cream, soft serve flavors, and cones are eggless.

Below are the items WITH EGGS, the rest are without:

Waffle Cone (the other cones are eggless) Maui Brownie Madness Frozen Yogurt
Raspberry Cheese Louise® Frozen Yogurt Icing on the Cake Ice Cream Makin' Cookies Ice Cream Tiramisu Ice Cream America's Birthday Cake Ice Cream French Vanilla Ice Cream Chocolate Chip Cookie Dough Ice Cream Everyone's Favorite Candy Bar Ice Cream Lemon Custard Ice Cream Strawberry Cheesecake Ice Cream Egg Nog Ice Cream German Chocolate Cake Ice Cream Fudge Brownie Ice Cream Mississippi Mud Ice Cream Fudge Brownie 31 Below™ Classic Banana Split Oreo® Sundae York® Peppermint Pattie Brownie Sundae Jamoca® Oreo® Sundae

All of their ice cream cakes have eggs, EXCEPT:
Vanilla & Chocolate Ice Cream/Fudge Crunch

Click on the link for more information:
Baskin Robbins