We have speech and crafting skills, but Skyrim treats them as essentially supplemental to battle skills. gamesas - if you're going to have non-combat skills, try to add in some story and quest lines which have very little combat, and which are based upon those skills. You could have a merchants guild, a smith's guild, etc. You could have stories where you basically must have high levels of speech/persuasion to complete those quests, high levels of smithing, or enchanting, or alchemy.
Morrowind kind of sort of did this - the Imperial Cult quests certainly had some combat, but many of them were about learning to craft, and crafting items to, e.g. heal sick people, or using a healing spell to cure someone of a disease. Don't know why we can't have some quests like that in Skyrim?
Well, it's probably too late to make any suggestions that would be incorporated in DLC, because I'm sure they're already working on those and have been since even before the release of the game, but, perhaps if it's not too late, maybe you could do such things in some of the DLC?
