Brightness:
* Red like a burning ember.
* Red like a sunset.
* Red like a ruby.
Intensity:
* Red like a stop sign.
* Red like a fire truck.
* Red like blood.
Warmth:
* Red like a hot chili pepper.
* Red like a warm fire.
* Red like a blooming rose.
Other:
* Red like a ripe tomato.
* Red like a candy apple.
* Red like a scarlet macaw.
The best simile will depend on the context and what aspect of red you want to emphasize.