Classification technique for unsupervised data?
You have many options of algorithms to use for classification of unsupervised data. 

This is a very broad topic, but if you need a specific algo recommendation, try to see if self-organizing maps (SOM) may help with your specific problem. In R, try the kohonen package. 

K-means is another popular clustering algorithm. 

No matter which method you use, consider converting your categorical data to numerical data for clustering, as it may alleviate some of your mixed data-type woes.