Nothing lasts forever. Spring flowers fade. Summer fruit gets eaten. Fall color falls from the trees and gets raked away. Berries and other small fruits that ripen to provide a bit of color through late autumn get eaten by birds and squirrels through winter. Every type of berry and every season is unique. It is impossible to predict how long particular berries will last through any particular season.
It would be presumptuous to believe that colorful berries should remain uneaten in our gardens until they decay. After all, they are produced specially for the birds and rodents who consume them. Their visually appealing bright colors are more culinarily appealing to overwintering wildlife. It is no free lunch though. Well fed wildlife is expected to disperse the seed within the berries they eat.
It is an ingenious system. Wildlife might think that they exploit the inanimate flora who produces the berries and small fruit for them. The associated flora could think that they exploit the mobility of the wildlife who eats their seed laden fruit. Those of us who grow plants who utilize this technique get to enjoy the color of the fruit while it lasts. Some of us prefer to enjoy the wildlife attracted to it.
Firethorn (pyracantha), toyon, cotoneaster and English hawthorn are the best for colorful red berries in late autumn and winter. All are of the family Rosaceae, and produce similar clusters of small bright red or maybe reddish orange berries. Yellow firethorn is rare here. Cotoneaster can be tall shrubbery, sprawling shrubbery, or groundcover. Only English hawthorn is a deciduous small tree.
The many species and cultivars of holly are unrelated to the family Rosaceae. In other regions, some are famous for producing seemingly similar berries. However, those that are the most prolific with berries are unpopular here. Those that are somewhat popular produce only a few berries due to a lack of pollinators. (They are dioecious, so female plants must be pollinated by rare males.)
This is the time of year to appreciate the colorful berries while they last.