Farmer:

-Eggs for emeralds. (Tier 4)

*Unsure of its only a bedrock feature.

Fisherman:

-Boat for emeralds, but it is only oak variation. (Tier 5)

*Went to different biomes, results are the same.

Butcher:

-Emeralds for cooked cooked rabbit and mutton. (Tier 2)

-Emeralds for cooked steak. (Tier 3)

Leatherworker:

-Missing enchantments for leather chestplate? (Tier 3)

-Missing enchantments for leather helmet? (Tier 5)

*Unsure if intentional or not, but these are not the first 1 or 2 tiers..

Cartographer:

-Emeralds for empty locator map. (Tier 2)

Mason:

-In 19w11b mason did not trade glazed terracotta for emerald at all. (Tier 4)

-But in 19w12a mason did not trade emerald for nether quartz. Maybe switched? (Tier 4)

***Maybe it is really rare to get all of trades checked but I have tested over 100's of villagers. At least 20 for most of each villager career section. Trades recommended to look over again.