Aims for fasted time
Takes no damage
No deaths
The way the screen progresses was an hindrance. I would move along faster than the screen would. This holds me back from moving as fast as could be. If Batman was able to jump a few pixels higher, I would also have been able to shave off a little more time. With these aside, not a bad run.
Truncated: Not playing the hardest skill level when there is one is really grounds for rejection just that. Now there were also clearly suboptimal bossfights, and not using the fastest method of transportation as Aqfaq said. Personally I also think that this game is not that good for a speedrun, but everyone might not agree.
In any case, this is rejected.