As far as I can tell they are 2 versions of the same game. According to the internet,"Taikenban" translates to demo version so maybe it was a store demo.
I launched them both and they seem identical except that Taikenban has the following differences:
There is a new option in the main menu called "Demo play" option that loops the intro animation and some demo fights,
"Advance Mode" is greyed out and not selectable.
Only 4 characters are available.
Bang's portrait looks like an older version with less shadows.
I played for a little bit and couldn't find any other notable changes. I hope this is useful.