A prominent plaintiffs firm has moved to coordinate the rapidly growing tide of lawsuits filed over General Motors Corp.’s ignition switch recalls, which expanded on Friday to include more recent vehicle models.

The March 24 motion was filed before the U.S. Judicial Panel for Multidistrict Litigation by Seattle’s Hagens Berman Sobol Shapiro—the firm that obtained a $1.6 billion consumer class action settlement over Toyota Motor Corp.’s sudden-acceleration recalls.