Couple Of Things...
First off, wrong genre my friend. This is definitely not classical. :-P At the moment I would probably classify it under ambient or miscellaneous. But definitely not classical.
But that is hardly a huge deal. I won't hold it against ya!
As for the song, I like it. It has a nice flow to it. The beginning is very full sounding, yet is still pretty light and airy. Very nice touch on the instruments and effects there for sure.
I like it when the piano comes in. It sounds really good, and the melody line is pretty simple and pleasing. I would add a little syncopation to it myself, but it isn't necessary. Overall the piano is well written.
I like how the bells/chimes really blend and mix with the piano. Yet they keep their individual parts as well. Really nice job in the writing and mixing of those two instruments.
There definitely is some room for improvement though. First off, it needs to be longer. It really feels unfinished. It needs at least another section, if not two or three to really feel complete. Right now the song feels like it is over before it even really gets going. And that is not a good impression to leave on a listener. :-P
I want to hear more of the electro instrument that is present in the beginning. (Which says something, because typically I don't like that type of sound with piano songs.) So if and when you add more sections, definitely use it. It has the perfect timbre and creates another layer in the song when it is present.
Also, you should think about adding some light bass to this. Something that isn't heavy and daunting, but rather a bass line that is quiet in the mix. With some nice reverb on it to give it that far away atmosphere. I think that would really add a new dimension to the song in a spacial way.
Sometimes when working you have to think and write in 3D. Instead of just adding instruments, and making songs longer and shorter, you have to think about depth. Tasteful reverb can really help to create this, as well as an overall mix of the instruments. So do not be afraid to think in a 3D environment when writing music. It is something hard to grasp, but once you get the hang of it your music will have a quality to it that most others can't emulate.
If you are looking for an example as to what I mean, I think my song Iron Monger would be a good example. In the beginning there is a piano part that I created that has a far away effect. It sounds like it is in a cave faraway. Whereas the rest of the song is in your face. But I'm only mentioning this to give you an idea what I mean if you don't quite understand.
I think some percussion would be nice. Especially if you extend it. I would add something slow and melodic. Not a hard thumping kick and snare line. They would ruin the atmosphere. But maybe something along the lines of Asian melodic percussion. It seems that something along those lines would REALLY be a great benefit to this song.
You can get such sounds online for free if you look around. Just type look for some Asian sound fonts. You are bound to find some free ones sooner or later. :-)
Overall though, this is nicely written. But there is definitely room for improvement. This has great potential, so don't let it collect dust here in Newgrounds and on your hard drive! :-P
3/5 and 7/10 overall.
Hope this was helpful in some way.