Indeed, aside from the true mosses, only the division (phylum)-level classification of these plants will be presented here.
Image of Moss sending forth its sporophytes -- these plants display the unique alternation-of-generations lifestyle.
Division Chlorophyta [Green Algae] *
Division Hepaticophyta [Liverworts]
Division Anthocerotophyta [Hornworts]
Division Bryophyta [Mosses]
- Class Sphagnopsida [Peat Mosses]
- Class Andreaeopsida [Granite Mosses]
- Class Bryopsida [True Mosses]
*- The Division (Phylum) Chlorophyta [Green Algae] is considered to be a non-vascular plant division here, but a member of the Kingdom Protista by many other sources.
N.B. – The classification of plants is a matter of some debate amongst taxonomists and biologists – you will find variations! This is the list as presented by the USDA. Cf., http://plants.usda.gov/classification.html – and the book The Five Kingdoms.