I don't think there is such as thing. There are daffodils with orange cups (Serola, for example), but that's as close to red as they get.

one red (well a little real red) daffodil I have seen has been the red ring (after the green one) on Poeticus Daffodil.

~Chills

Narcissus 'Fortissimo' is bright orange:
{{gwi:21980}}

I think "red" and "pink" in the daffodil world are like "blue" in the perennial world. Many plants are referred to by these color words, but few-to-none live up to the hype. I have a feeling that "red" daffodils are ones that have orange-red cups. One of my favorites is Martinette, which is a jonquil with smaller flowers in clusters. They are real show stoppers.

The link below shows 3 stunning cultivars with red cups...Amadeus, Catalyst, and Liberation. Sadly I don't have any of them in my gardens,....yet anyway.

Here is a link that might be useful: Some Mitsch's beauties with red cups