As per your request here I am providing you the list of Ice Cream brands available in the world along with their country names to which they belong. Please check the below list of Ice Cream brands:

The list includes:

Abbott's Frozen Custard (US)
Amul (India)
Arun (India)
Australian Homemade (Netherlands)
Baskin-Robbins (US)
Ben & Jerry's (US)
Berthillon (France)
Blue Bell Creameries (US)
Blue Bunny (US)
Bonnie Doon Ice Cream (US)
Braum's (US)
Bresler's Ice Cream (US, defunct)
Breyers (US)
Brigham's Ice Cream (US)
Bubbies (US)
Cargills Magic (Sri Lanka)
Carvel (US)
Casper's Ice Cream (US)
Chapman's (Canada)
Choctál (US)
Cold Stone (US)
Colonial Ice Cream (US)
Cornetto (UK, Netherlands)
Cows Creamery (Canada)
Creambell (India)
Dickie Dee (Canada, defunct)
Diplom-Is (Norway)
Dippin' Dots (US)
D'Onofrio (Peru)
Double Rainbow (US)
Dreyer's (US)
Drumstick (US)
Elephant House (Sri Lanka)
Eskimo (Nicaragua)
Edy's (US)
Fan Milk (Ghana)
Fenocchio (France)
Fieldbrook Farms (US)
Friendly's (US)
Frikom (Serbia)
GB Glace (Sweden)
Gelato Italia (UK)
Glacio (Belgium)
Golden North (Australia)
Golf (Turkey)
Good Humor (UK, Netherlands)
Graeter's (US)
Grido Helado (Argentina)
Häagen-Dazs (US)
Handel's Homemade Ice Cream & Yogurt (US)
HB Ice Cream (Ireland)
Hennig-Olsen Iskremfabrikk (Norway)
Herrell's Ice Cream (US)
Hershey Creamery Company (US)
Hertog (Netherlands)
Hico Ice Cream (Pakistan)
Hjem-IS (Denmark)
Homer Hudson (Australia)
Ideal Ice Cream (India)
Igloo Ice Cream (Bangladesh)
Ingman (Finland)
It's-It Ice Cream (US)
J.P. Licks (US)
Jack and Jill Ice Cream (US)
Jeni's Splendid Ice Creams (US)
Joe Delucci's (UK)
KaleidoScoops (US)
Kawartha Dairy Company (Canada)
Kibon (Brazil)
Klondike (US)
Kowloon Dairy (Hong Kong)
Kwality Wall's (India)
Kyl21 (Germany)
Langnese (Germany)
Laura Secord (Canada)
Ledo (Croatia)
Leone[disambiguation needed] (Slovenia)
Lick Me I'm Delicious (UK)
The Licktators (UK)
Lovin' Scoopful (US)
Mado (Turkey)
Magnolia (Philippines)
Magnum (Australia)
Mauds Ice Creams (Ireland)
Maxibon (Australia)
Mayfield Dairy (US)
Maypole Ice Cream (Canada)
Milko (Sweden)
Míša (Czech Republic)
Morelli's (UK)
Mother Dairy (India)
Mövenpick Ice Cream (Europe)
Mr. Green Tea Ice Cream Company (US)
Murphys Ice Cream (Ireland)
Neilson Dairy (Canada)
New Zealand Natural (New Zealand)
Nirula's (India)
Nobó (Ireland)
OMORÉ (Pakistan)
Paddle Pop (Australia)
Perry's Ice Cream (US)
Peters Ice Cream (Australia)
Pierre's Ice Cream Company (US)
Purity (US)
Polar ice cream (Bangladesh)
Salt & Straw (US)
Selecta (Philippines)
Solero (UK, Netherlands)
Speelman's Ice Cream (US, defunct)
Strauss (Israel)
Streets (Australia)
Stroh's Ice Cream (US)
Talenti (US)
Tillamook (US)
Tip Top (New Zealand)
Trail's End (US)
Turkey Hill (US)
Umpqua (US)
Vadilal (India)
Valio (Finland)
Viennetta (Italy)
Wall's (UK)
Western Family (US)
Whitey's Ice Cream (US)
Yarnell Ice Cream Co. (US)
Ysco (Belgium)