My first attempt at getting back into speedrunning this game came with a softlock on 9-1 that I also managed to get a few months ago. I've uploaded both instances.
I haven't tried to recreate this intentionally, all I can say is that on both occasions I've been stood dead centre before the cutscene. I don't know if this can happen with the international version.
Here's a youtube playlist of the softlocks I could find on a quick search. The last one won't affect speedruns however as it occurs after the bonus mini-game.
https://www.youtube.com/playlist?list=PLbRwvxBLNBykC8lQ5EZrYs81X-dGhlkKl
Let me know if there's more I can add.
It only happens in the JP version. If you cancel out the dialog box before Headdy gets to the left side of the screen and jumps in place, it won't change his animation.
As this was one of my favourite games growing up, I'm currently learning it - had a softlock pretty early on. It's not something you should ever really see in a run (wooden dresser robot phase) but fun none the less :)