The hardest I have ever cried in a Broadway theater was while watching “War Horse,” an adaptation of Michael Morpurgo’s World War I novel that arrived at Lincoln Center a dozen years ago, after earning acclaim in London. The play is both a historical drama and a love story between a teenage boy and his horse; the latter was represented on stage through the magic of puppetry, with the animal and other equines brought to radiant, eventually wrenching life by brilliant designers and performers.