For example, bleaching powder, bearing the chemical name calcium hypochlorite, contains chlorine, whereas peroxidase-based bleach doesn't contain chlorine.
Since sodium hypochlorite is the active ingredient in chlorine-based bleach, it may first decompose to form hydrochloric acid, which can then lead to the formation of chloramine vapours.
However, in terms of general usage, the word 'bleach' is used to refer to common household bleach, which consists of 3-8% sodium hypochlorite and trace amounts of sodium hydroxide.