My two favorite are the ROTY trophy (That is Jackie Robinson's ROTY award that I used) and the Rolaids Relief Man trophy with the fireman's hat on top.
I'm going to go find that division series/LCS style icon for you guys, sorry about that.
(I went in to see how it showed it for the different series, and this was interesting. I will still go get a LCS trophy for those that want to have a different icon in their custom award to keep track of WS MVP's at a glance, but check this out in the meantime, I love that it does this.)
This is from a random debut I set up that I call "Sleepy Randoms", I let it progress as a normal historical with random debut from 1901 on, and it's Sleepy because I sim it while I sleep at night. You'll see the award this player just won, that's the cool thing. Also a few of the other icons are also shown here: