I don't know of it interacting with other tags - I've used GST, HIS, and GFP tags simultaneously without problem. But GST does form dimers with itself, so it's best to have your GST-tagged protein as the immobilized one and the other tag in solution. This limits any artifact from the GST-GST dimerization.
In expressing recombinant GST-tagged proteins in E. coli, I've always run into the problem of the recombinant protein co-purifying with massive quantities of HSP70.