There are NO officials US government - sponsored studies comparing the health of vaccinated to unvaccinated children.
There are several independently funded studies have been done in the US and overseas. The majority of these studies have been conducted abroad, but many involve American children.
What do these studies show? The research demonstrates conclusively that unvaccinated children enjoy far superior health when compared to those vaccinated. Unvaccinated children experience almost no incidence of autism, autoimmune disorders, asthma, allergies, diabetes and other common childhood diseases which have reached epidemic proportions in recent years.
One of the most comprehensive studies is an ongoing comparative survey by German homeopathic physician Andreas Bachmair. Bachmair is conducting an independent study comparing the health of vaccinated to unvaccinated children with 17,461 participants.
This research has found a significant increase in the following diseases in those vaccinated: asthma, allergies, bronchitis, otitis media (ear infections), hay fever, herpes, neurodermatitis, hyperactivity, scoliosis, epilepsy, autoimmune disorders, thyroid disease, autism and diabetes. Furthermore, Bachmair discovered three other studies which substantiated his findings. To see the chart with the comparison in diseases, visit this link provided by the Vermont Coalition for Vaccine Choice.
For comprehensive survey results for this published study, see this link.
The majority of those who participated were Americans, with 25 percent of participants comprised of Germans. Ninety-nine percent of those who chose not to vaccinate their children reported to be happy with their decision. Because this study is ongoing, study numbers will vary depending on the report viewed. 
Bachmair’s reports further demonstrated that the unvaccinated children very rarely suffered from the following heath conditions: dyslexia, speech delays, bed wetting, celiac disease, gluten sensitivity, GERDs. 
more research findings located at https://vactruth.com/2016/06/03/vaccinated-vs-unvaccinated/Research On Autism And Neurological Disorders
In the Amish community of Lancaster County, Pennsylvania, one in 4,875 children were diagnosed with autism. Of the four total Amish children diagnosed, one had been exposed to high levels of mercury from a power plant and three others, including one adopted outside of the community, had been vaccinated. This rate is extremely low to non-existent compared to those vaccinated. Similarly, the Amish of Ohio show that one out of 10,000 children are diagnosed with autism. In the general US population, one in 45 children is now being diagnosed with autism. [4, 5]
In a Homefirst Health Services survey in which 90 percent of children have had no vaccinations, none of the 35,000 children had an autism diagnosis. Furthermore, these children had extremely low asthma rates.
While government groups maintain that no studies have been done to compare the health of vaccinated to unvaccinated, the reality is that several comparative studies have been completed by independent researchers in the US and in other countries.
The Centers for Disease Control and Prevention refuses to conduct such studies, claiming they would be unethical to perform. In reality, these studies could easily be performed, since many educated parents choose to not vaccinate their children.
The evidence is overwhelming. Studies completed in New Zealand, Germany, Africa, Great Britain and the United States have come to the same conclusion. Unvaccinated children enjoy far superior health on all measures of disease entities.
- McKeever and TM. American Journal of Public Health. June 2004. V 94.
- Kemp, T. et al. Epidemiology. November 1997. 678-80.
- Fallon, Sally, Cowan, Thomas, MD. The Nourishing Traditions Book of Baby and Childcare. New Trends Publishing, 2013. 112, 317.