For the sprites listed here, they are;

First row: Elder of Mysidia, Black Mage, White Mage, Blue Armored Captain, Red Soldier, Baigan, King of Baron, Monk of
Second row: Red Robed Old Man, Sandy, Cindy, Mindy, King of Fabul, Blue Robed Old Man, Blue Robed Monster, King Giott
Third row: Luca, Blue Armored Dwarf, Dr. Lugae, Red Robed Monster, Sheila (Called Yang's Wife in this game), Scarmiglione, Blue Robed Old Woman, Anna, Sylph, Rydia's Mom.

Some other FFIV characters, (besides the ones that are playable) that appear in the Record Keeper story but aren't shown here are the bombs as they use there sprites from SNES I think.