FRANKFURT — The Waffen-SS is widely seen as one of the main perpetrators of the Holocaust, but not in the pages of Der Landser, a weekly German pulp magazine.

In one recent issue, members of the feared World War II military unit were portrayed as just a bunch of good-natured soldiers doing their jobs and, between battles, sharing rounds of local plonk with Greek villagers grateful to have been invaded. “We conquered them, and they’re still a friendly folk,” remarked one member of the squad, which belonged to Hitler’s personal bodyguard.

That jarring view of history, in a magazine published by one of Germany’s largest news media companies and available for download on Amazon and Apple iTunes, has come under fire from a prominent American Jewish group. Acting on what it said were several recent complaints, the Simon Wiesenthal Center in Los Angeles invoked German laws against Nazi propaganda and Holocaust denials in asking Berlin last week to shut down Der Landser....