This article (from last December) has identified what it thinks are 244 new human microRNAs from human fetal brain tissue, of which 20 seem to be species-specific (see figure 1d). They also mention 2 previously-known human-specific microRNAs.
Eugene Berezikov, Fritz Thuemmler, Linda W van Laake1, Ivanela Kondova, Ronald Bontrop, Edwin Cuppen and Ronald H A Plasterk Diversity of microRNAs in human and chimpanzee brain. Nature Genetics – 38, 1375 – 1377 (2006)
neurodudes 