See all Restaurants in Muncie Muncie for: Adventure, Food And Dining, Art And Culture, Nightlife, Spa, History, First Timers, Family, Romance, Shopping Muncie Frozen Custard 3501 N. Briarwood Ln Phone: ☎ (765) 284-3764 About Muncie Frozen Custard, 3501 N. Briarwood Ln, ☎ (765) 284-3764, [8]. 11am-10pm. A great locally owned and operated family ice cream shop $1-3/item. Add to Wish List