Okay, so there are a few differences between the original game and the remastered version which most people wouldn't classify as better, and some bugs that the new version presents. 

Here are the differences between each version:

The score counter has been changed to a default variable text symbol (see above), the reason for this change is listed in the bugs section

Although the leaderboard is cool to see your scores from your last tries, or to compete with your friends by taking turns playing, it does take up a good chunk of the Game Over screen, and is a little clunky to work with.

Some assets are incorrectly sized due to the new 640 by 360 pixels widescreen.

Here are the bugs that the new version presents (note, there may be more that I am not aware of):

The charge meter stops working around the 8th time retrying the game using the retry button. I currently don't know what causes this, but it'll hopefully be fixed in a future bug patch.

The score counter used to break the whole counter system due to a glitch with the cloning system and the number costumes. Unfortunately, there is no way to fix this with the new retry button, so the default variable text will have to do for now.

I do not believe there are any more glitches, so if you find any more, please do comment about them!