Streptococci and enterococci are Gram-positive cocci that are classified based on hemolytic patterns, Lancefield antigens, and biochemical characteristics. Medically important species include Streptococcus pyogenes (Group A), S. agalactiae (Group B), S. pneumoniae, and Enterococcus faecalis. These bacteria commonly colonize humans and can cause diseases like pneumonia, meningitis, toxic shock syndrome, and endocarditis. Laboratory identification involves culturing specimens on blood agar to observe hemolysis and performing tests like bile solubility and optochin sensitivity.