The spirits: the hawk, wolf, snake, moth, owl, whale, bear, fox, dragon. These are the shapes found on the claw doors and/or the turning-pillar puzzles (though with a dragonfly replacing the moth, for some reason), you may note. Also, there are nine of them, equal to the 8 divines + Shor.
The dragon is pretty clearly Akatosh, for obvious reasons.
The moth has a great deal of significance in lore, representing ancestors and destiny. I've seen people make a Pelenial-moth connection (can anyone explain? Besides one odd MK reference, I've never seen the connection in anything pseudo-official), and so I assume the moth symbolizes Shor/Lorkhan.
The bridge to Sovngarde is made of whalebone, and Tsun guards that bridge. If Tsun is Zenithar, as is sometimes theorized, this might mean Zenithar is also the whale, but that's grasping at straws.
The others? No idea. I've got guesses I can toss around, but they're based entirely on my own cultural biases (ie, "owls are wise"). Looking for anything in lore that gives any kind of weight here.