Blizzard is the double homozygous recessive expression of albino and anerythristic type B (aka charcoal).
By pairing with a snow (= double homozygous recessive expression of albino and anerythristic type A):
All albino offspring that are heterozygous for anery type A and anery type B
By pairing with an albino:
All albino offspring that are heterozygous anery type B
By pairing with an amel no het... Albino = amel = the inability to produce the pigment melanin.
All albino offspring that are heterozygous anery type B
By pairing with a motley:
All normal offspring, all het for motley, albino, and anery type B
By pairing with an anery not het (assuming by anery you mean anery type A)::
All normal offspring, het albino, anery type A and anery type B
This all assumes no listed pairings are het for other traits and the blizzard is also not het for other traits.