Back to the Future has Marty McFly playing a tape labeled after Eddie (and it's indeed the guitarist playing), and later imitates his tapping at the "Johnny B. Goode" dance.
In the Glee episode "Mattress", the New Directions sing "Jump" while appearing in a local mattress store commercial.
Young Sheldon: In "An 8-Bit Princess and a Flat Tire Genius", Old Sheldon reminisces about other video games he's played, including one in which he used "a stringless, plastic guitar" to play Van Halen's "Hot for Teacher".
Dexter's Laboratory: One of the members from the Justice Friends shorts is a guitar rocker Expy of The Mighty Thor named Valhallen, whose name is a portmanteau of Valhalla and Van Halen.
South Park had a unification rally of the three Abrahamic faiths; Christianity, Islam, and Judaism, where the cross, Crescent and Star of David were merged into the "VH" logo, thus ushering in ten years of Van Halen, with the band proceeding to play afterwards.