Children and teens currently get 13 vaccines that protect them against 16 vaccine-preventable diseases, including DTaP, IPV (polio), hepatitis B, Hib, Prevnar 13, rotavirus, MMR, Varivax (chicken pox), hepatitis A, Tdap, HPV, MCV 4 (meningococcal vaccine), and influenza.
Although that is a big increase from the number of vaccines that they were getting in the 1960s and 1980s, it is also a big increase in the number of diseases that they are protected against.
Few vaccines have been added to the immunization schedule recently though, despite the fact that some folks claim that 300 new vaccines are in the pipeline and will soon be given to kids.