As you want to get the list of some of the best brands of RUM so here is the information of the same for you:

List of some of the best brands of RUM;
Africa:
Democratic Republic of Congo
Kwilu Rum

Kenya
Safari Rum

La Réunion
Rhum Charrette (fr)
Riviere du Mat
Savanna
Madagascar
Groupe Vidzar (Dzama)

Mauritius
New Grove
Penny Blue
Pink Pigeon
Saint-Aubin

South Africa
Mainstay Original Premium

Asia and the Pacific:
Australia
Beenleigh
Bundaberg
Far North Queensland Rum Co
The Holey Dollar Rum Distilling Company
Hoochery Distillery
Inner Circle Rum
Kimberley Rum Company
Lark Distillery
Mt. Uncle Distillery

India
Jolly Roger
Old Monk
McDowell's No.1

Japan
Suntory

Philippines
Bleeding Heart Rum Company
Tanduay

Thailand
Chalong Bay Rum (Phuket)
Magic Alambic Rum (Ko Samui)
Sang Som

Caribbean:
Antigua and Barbuda
Cavalier
English Harbour

Barbados
The Mount Gay Rum Distillery (owned by Remy Cointreau)
The West Indies Rum Distillery Ltd. (Goddard's Enterprises)

British Virgin Islands
Pusser's Ltd.

Cuba
Cubay
Havana Club
Matusalem
Ron Edmundo Dantes
Ron Legendario
Ron Mulata
Ron Santiago de Cuba
Ron Varadero

Dominican Republic
Barceló
Bermúdez
Brugal
Macorix
Siboney

Guadeloupe
Damoiseau
Karukera
Montebello
Père Labat
Séverin

Haiti
Rhum Barbancourt
Rhum Vieux Labbé

Jamaica
J. Wray and Nephew
Myers's
National Rums of Jamaica Limited (Monymusk Plantation)
Rum-bar rum
The Rum Company

Martinique
Habitation Saint-Etienne
J. Bally
La Mauny
Neisson
Rhum Clément
Rhum Dillon
Saint James
Trois Rivières

Puerto Rico
Bacardi
Don Q
Ron del Barrilito

Saint Kitts and Nevis
Belmont Estate Rum
Cane Spirit Rothschild (no longer produced)[6]

Saint Lucia
Chairman's Reserve Rum
Rum 1931
Rum Admiral Rodney
TOZ rum

Trinidad and Tobago
10 Cane (Moet Hennessy)
Angostura Rums (Angostura 1824, Angostura 1919, Old Oak, Royal Oak)
Fernandes Rums (Fernandes Black Label, Forres Park, Vat 19)

US Virgin Islands
Diageo (Captain Morgan)
Virgin Islands Rum Industries, Inc (Cruzan)
William Grant & Sons (Sailor Jerry)

Central and South America
Argentina
Isla Ñ Rum

Belize
Travellers Liquors, Ltd. (One Barrel Rum)

Brazil
Oronoco Rum

Colombia
Dictador
Ron de Caldas
Ron Medellín
Ron Santa Fé

Costa Rica
Centenario

Guatemala
Ron Botran
Ron Zacapa

Guyana
El Dorado
Royal Rum

Honduras
Pirate's Grog Rum

Nicaragua
Flor de Caña
Ron Mombacho
Ron Plata
Ron Zapatera

Panama
Don Pancho
Ron Abuelo Varela Hermanos

Paraguay
Papagayo

Peru
Cartavio
Ron Millonario

Suriname
Marienburg Rum

Venezuela
Cacique
Carúpano
Diplomático
Pampero
Ron Santa Teresa

Europe
Stroh Rum from Austria

Austria
Stroh (flavored rum)

Denmark
A.H. Riise Danish Navy Rum

Germany
Pott

Spain
Arehucas

North America
Bermuda
Gosling Brothers, Ltd.

Canada
Authentic Seacoast Distilling Company
Ironworks Distillery
Newfoundland Screech

Mexico
Ron Macollo
Ron Mocambo

United States
Ballast Point Brewing & Spirits (San Diego, California)
Bayou Rum (Lacassine, Louisina)
Charbay Distillery (Napa/Mendecino, California)
Coastal Extreme Brewing Company (Newport, Rhode Island)
Daufuskie Island Rum Company (Daufuskie Island, South Carolina)
Dogfish Head (Rehoboth, Delaware)
Donner-Peltier Distillers (Thibodaux, Louisiana)
Maui Dark Rum (Hawaii)
Montecristo rum
Prichard's Fine Rum (Kelso, Tennessee)
Railean Rum (San Leon, Texas)
Rogue Spirits (Newport and Portland, Oregon)
Selvarey Rum (Hollywood, California)
St. George Spirits (Alameda, California)