Todd Howard, aka Toad. He has a board feature, the 71st feature. I want to put down some concrete info now about how you get this damn statue, because after an hour of searching Google, 9 hours play testing, multiple people looking on my behalf during my 100% speedrun, and my experience during said speedrun, I can say with some confidence what you need is a 1-2 step.
At the very least, you're going to need two badges -- The Toad Badge from completing Story Mode, as well as the Mario Party DS Star badge you unlock at 39000 MPP. For some reason, there seems to be a points lock on the feature that isn't noticing on the Mario Wiki or anything. You'll note in my 100% run (which is getting highlighted as I post this and being submitted shortly after) that I did the minigame modes after completing Story Mode runs with both Toad and Daisy, to no avail. However, when I went back and did 4 of the 5 (Step It Up, Battle Cup, Rocket Rascals, and Score Scuffle) about 30 hours later, that's when I unlocked the statue. I had about 40000 MPP at the time, so you don't need max badges.
So yeah, in short. Todd Howard Story Mode Badge + Mario Party DS Star Badge (at most, idk if it'd unlock with a lower badge) + Step It Up, Battle Cup, Rocket Rascals, and Score Scuffle = Todd Howard Statue
EDIT: After doing another run of 100% yesterday (4/12/20), it seems all the board features are needed as well, but that may have just been a flaw in my routing. To clarify, when I got to the Minigame Mode split, I was expecting to unlock the statue at the end of the last minigame mode, Rocket Rascals. I didn't. I did SIU, BC, and SS again, then did "Duel City" (Duel Battles on the 5 boards for those board feature) to get 11 board features I was missing via the badges. After that, I went to do Rocket Rascals again and got the statue.
