At USA brand got introduced by LORILLARD in July 1975.
At Romania brand got introduced by GALAXY TOBACCO in 2005 and disappeared a few months later because of trademark right violations

Max

United Kingdom 1940's
20 pieces in Sliding Box

Producer A. and M. Wix
Trade Mark Owner A. and M. Wix
 
Max

United Kingdom 1960's
20 pieces with Filter in Sliding Box

Producer St. Jame's Tobacco Company Ltd.
Trade Mark Owner St. Jame's Tobacco Company Ltd.
 
Max Blue Lights

Israel 2004
20 pieces with Filter in Flip Top Box with Cellophane
Tar 7, Nicotine 0.7, Barcode 72909850
Producer H.B. Tabac, Netherlands
Trade Mark Owner
Max Filter 120s

Duty Free USA 1970's
20 pieces with Filter in Soft Pack with Cellophane

Producer Lorillard
Trade Mark Owner Lorillard
Max Filter 120s

USA 1970's
20 pieces with Filter in Soft Pack with Cellophane

Producer Lorillard
Trade Mark Owner Lorillard
Max Filter 120s

USA late 1980's
20 pieces with Filter in Soft Pack with Cellophane
Barcode 0263841
Producer Lorillard
Trade Mark Owner Lorillard
Max Full Flavor

Israel 2004
20 pieces with Filter in Flip Top Box with Cellophane
Tar 12, Nicotine 0.9, Barcode 72909652
Producer H.B. Tabac, Netherlands
Trade Mark Owner
 
Max Full Flavour

Romania 2005
20 pieces with Filter in Flip Top Box with Cellophane
Barcode 59428862
Producer Galaxy Tobacco
Trade Mark Owner Galaxy Tobacco
 
Max Lights

Romania 2005
20 pieces with Filter in Flip Top Box with Cellophane
Barcode 59428886
Producer Galaxy Tobacco
Trade Mark Owner Galaxy Tobacco
 
Max Medium

Romania 2005
20 pieces with Filter in Flip Top Box with Cellophane
Barcode 59428879
Producer Galaxy Tobacco
Trade Mark Owner Galaxy Tobacco
 
Max Menthol 120s

USA 1979
20 pieces with Filter in Soft Pack with Cellophane

Producer Lorillard
Trade Mark Owner Lorillard
Max Red

Poland 2004
20 pieces with Filter in Flip Top Box with Cellophane
Tar 10, Nicotine 0.9, Barcode 59013280, Price 4.15 Zt
Producer Zaklady Tytoniowe w Lublinie S.A.
Trade Mark Owner Zaklady Tytoniowe w Lublinie S.A.
Max Slim Lights Menthol 100s

USA 1983
20 pieces with Filter in Flip Top Box
Barcode 0264841
Producer Lorillard
Trade Mark Owner Lorillard
complimentary pack, not for sale, available from January 1982 until March 1985