“Whether you like it or not, everyone has heard ‘Dancing Queen’ at least once,” says Christian Fast. The lead guitarist for ABBA The Concert, an ABBA tribute act, has no reason to doubt that fact.

That Sweden is perennially ranked as one of the world’s happiest countries comes through loud and clear in the buoyant music of ABBA. The ’70s Swedish quartet is still revered for the perky melodies, ...