A shrink film applying apparatus includes an article feed for feeding articles for shrink-wrapping at line pressure; a wrapping conveyor driven at a wrapping speed through a wrapping zone, the wrapping conveyor receiving articles from the article feed. First and second films are supplied to the wrapping zone. A plurality of flight bars are individually driven in a path at a variable speed. A sealing mechanism within the wrapping zone seals the first film to the second film at contact points to form a circumferential film unit substantially surrounding grouped articles within loops of second film and a corresponding portion of the first film, the film unit being shrinkable about the grouped articles to form a package. Related methods and subassemblies of the apparatus are disclosed.