There are not many museums devoted to lighters in the world. The most impressive permanent collection has the National Lighter Museum in the US.
North America
National Lighter Museum
Address: 5715 Sooner Rd, Guthrie, Oklahoma, United States
More info: http://www.nationallightermuseum.com/index.html
Zippo Museum
Address: 1932 Zippo Drive, Bradford, Pensylvania, United States
More info: http://www.zippo.com/ZippoCaseMuseum/index.aspx
Asia
Cigarette Lighter Museum (Raita Hakubutsukan)
Address: Sumida ward, Mukojima 1-27-6, Tokyo, Japan
More information: http://www.quirkyjapan.or.tv/museums.html
Europe
The Phillumeny Museum (Muzeum Filumenistyczne)
Address: Mały Rynek 1, Bystrzyca Kłodzka, Poland
More information: http://www.muzeum-filumenistyczne.pl/english-version.html
Edwin Preibisch, Feuerzeugmuseum
Address: Bergerstraße 136, Köln (Porz-Eil), Germany
Edwin Preibisch, Feuerzeugmuseum
Address: Bergerstraße 136, Köln (Porz-Eil), Germany