This is really a broad question, are you looking for something about a specific group of non-coding RNAs or in a specific cell type?

There are a number of different types of non-coding RNAs.  Their functions range from gene silencing to signalling dynamics to a host of other epigenetic regulatory functions.  Like most functions in a biological system, you're going to have some variability from one cell type/system to the next.

In general, most of your major journals (Cell, Nature, Science, etc.) will have reviews on non-coding RNAs.  If you're new to a topic/field, those will be your best starting point.  As this is a rapidly expanding field, make sure to look for recent reviews/publications as these will cover all of the basics and show you some of the more widely accepted/relevant papers on the subject.

I suggest the following to get you started:

http://www.nature.com/nrg/journal/v16/n2/pdf/nrg3863.pdf

http://ac.els-cdn.com/S0092867414003389/1-s2.0-S0092867414003389-main.pdf?_tid=d1dc6c16-4c0f-11e5-bc30-00000aab0f02&acdnat=1440606833_9c8c5c4fb035dcf6365c255607b48836

http://www.cell.com/cell/collections/noncoding-rna

http://www.nature.com/search?order=relevance&q=non-coding%20rna%20review