Two things on Mountain Dwarf: It's a single feat, the prerequisite for Moderately Armored is light armor proficiency, which you get from Dwarven Armor Training and I did forget about Dwarven Armor Training giving you medium armor without shields.
That (unless I'm forgetting any further features) is the only feature that does so. Elven Chain just pretends you're proficient but doesn't actually give you proficiency.