With round or oval bulbs:
Aceras
Anacamptis
Chamorchis
Himantoglossum
Neotinea
Ophrys
Orchis
With creeping rhizoms:
Cephalanthera
Cypripedium
Epipactis
Goodyera
Limodorum
Listera
With irregular rhizoms:
Calypso
Corallorhiza
Epipogium
Neottia