There is disclosed a tag making and stacking system, tag stackers and stack trays. To increase tag making capacity, a wide tag web is slit into completely severed narrow tag webs which are cut apart to form tags which are immediately separated and formed into spaced apart stacks. The new system includes a printer and a stacking system to receive and stack tags. The stacking system includes a tag stacker and a removable tag-receiving tray to facilitate transferring a stack of tags from the tag stacker to the place where the tags are to be used. A method of handling tags involves the provision of at least first and second removable trays wherein a first tray with a stack of tags can be replaced by an empty second tray so that the stacking of additional tags can recommence without waiting for the first tray to be emptied.