Here's a short list of some evergreens that are suitable for containers.
Buxus sempervirens Common boxwood
Pinus spp. Various dwarf varieties
Arborvitae spp. Various dwarf varieties
Tsuga spp. various dwarf varieties
Picea spp. Various dwarf varieties
Chamaecyparis pisifera ‘Filifera Aurea’ Golden Japanese False Cypress
Taxus baccata English yew
Euonymous fortunei Wintercreeper
In The Garden,
Cindi Sullivan