One of my favorites is Barrett Browning, an early blooming small cup. Heavy bloomer, good increaser, with strong stems and upright blooms- excellent garden plant.
Cragford is a fragrant tazetta. I've only grown it for a year, so I can't say as to its growth habits yet, but the color and fragrance is nice.
A variety frequently offered in commerce is Professor Einstein. I found it to have weak stems that always ended up face down on the ground. The color wasn't sun proof either, it would appear to have bleached spots after a few days. I quit growing it several years ago.
Most of the whites with orange/red cups have cups that are more sunny orange than red. If that is acceptable you may want to consider 'Geranium', a fragrant tazetta that blooms mid to late and increases beautifully.
