Antibodies have been first characterized as proteins produced by the immune system solely for binding other molecules, called antigens, with the goal of eliciting immune response. In this classical conception, antibodies act similarly to enzymes in specific binding to different molecules but cannot catalyze their chemical conversion. However, in 1986 the first monoclonal catalytic antibodies against a chemically stable analog of the transition state of a reaction were obtained and termed abzymes (Abzs). At present, artificial monoclonal Abzs catalyzing more than 100 distinct chemical reactions have been obtained. The discovery of IgG specifically hydrolyzing intestinal vasoactive peptide in the blood serum of asthma patients stimulated studies of natural Abzs. Numerous Abzs discovered afterwards in sera of patients with various autoimmune diseases, viral disorders, or in the milk of healthy mothers, are capable of hydrolyzing proteins, DNA, RNA, polysaccharides, or nucleotides, as well as to phosphorylate proteins and lipids. The phenomenon of catalysis by auto-Abzs is more and more in research focus. In this review we summarize new data on Abzs applications in basic science, medicine and biotechnology.