A very incomplete list of mosses found west of the Cascade Mountains in Oregon and Washington:
Splendid Feather Moss, Step Moss: Hylocomium splendens (Synonyms: Hylocomium alaskanum, Hylocomium giganteum, Hylocomium proliferum, Hylocomium splendens var. alaskanum, Hylocomium splendens var. gracilius, Hylocomium splendens var. obtusifolium) (Hylocomiaceae)
Oregon Beaked Moss: Eurhynchium oreganum (Synonyms: Bryhnia oregana, Kindbergia oregana, Stokesiella oregana) (Brachytheciaceae)
Menzie's Tree Moss: Leucolepis acanthoneuron (Mniaceae)
Badge Moss: Plagiomnium insigne (Synonyms: Mnium insigne, Mnium insigne var. intermedium) (Mniaceae)
Undulate Plagiothecium Moss, Waved Silk Moss: Plagiothecium undulatum (Plagiotheciaceae)
Common Haircap Moss: Polytrichum commune var. commune (Synonyms: Polytrichum commune var. maximoviczii, Polytrichum commune var. nigrescens, Polytrichum commune var. uliginosum) (Polytrichaceae)
Juniper Moss, Juniper Polytrichum Moss: Polytrichum juniperinum (Synonyms: Polytrichum apiculatum, Polytrichum juniperinum var. waghornei) (Polytrichaceae)
Goose Neck Moss: Rhytidiadelphus loreus (Hylocomiaceae)