Agreed hundredfold. I've been wanting first person for riding, and pretty much everything. I can't believe why they didn't make a first person mode for riding. As a result, I never ride horses in Skyrim

@Avenrose, there are random NPCs riding in Skyrim. Couriers at least. Not as frequent as in Oblivion, but still.
I also think the suggestion about a faster dismount or even a sort of lunge animation when enemies are nearby and you aim at them and everything would be truly neat. That would actually a kind of substitute for mounted combat. But I always hoped they'd at least include mounted archery.