A union representing thousands of voiceover actors has called for a strike against 11 videogame companies, including industry powerhouses Electronic Arts Inc. and Take-Two Interactive Software Inc., over a pay dispute.

The Screen Actors Guild-American Federation of Television and Radio Arts, or SAG-AFTRA, has been negotiating terms for a new contract with a coalition of nine videogame companies for nearly two years. The union represents actors, whose voices and likenesses are pervasive in videogames.

For...