Neko Indeed! Kinniku Banzuke - Road to Sasuke! in particular, which I’m preeetttyyy sure was the only one to feature this simulation mode, although I could be totally wrong about that.
The news of that G4, uh, thing, reminded me of Ninja Warrior, which in turn reminded me of this game, which is pretty alright if you like dumb button pressing minigames (I do!).