Trumpet honeysuckle is a rapid growing deciduous vine that displays very showy coral pink flowers all season, and their bluish-green leaves provide nice contrast. Flowering clematis have large flowers, which come in many colors. They are deciduous and grow vigorously when provided with a bit of root protection. Euonymus is one of the few evergreen vines that do well in Colorado. It's a good grower, can trail or climb, and comes in several different varieties and leaf colors.
English ivy is a favorite of traditionalists.
It's evergreen, comes in many varieties, and does well in the shade. It needs no trellis support. Silver lace vine is a rapid-growing deciduous vine that displays masses of white flowers summer through fall. Scarlet runner bean is an annual vine. It puts out bright scarlet flowers all summer and will rapidly cover a trellis.