There are literally thousands and thousands and thousands of studies showing that vaccinations reduce the incidence of disease and reduce mortality in populations that are vaccinated.  The Centers for Disease Control has numerous articles and data sets that you can browse at your leisure.  Here is a link to one on the measles vaccination campaign:

http://www.cdc.gov/mmwr/preview/mmwrhtml/mm5748a3.htm?s_cid=mm5748a3_e

"Despite the availability of a safe and effective vaccine since 1963,
measles has been a major killer of children in developing countries
(causing an estimated 750,000 deaths as recently as 2000), primarily
because of underutilization of the vaccine. . . . Increased routine 
measles vaccine coverage and SIAs [supplementary immunization activities] implemented during 2000--2007 resulted in a 74% decrease in the estimated number of 
measles deaths globally. An estimated 197,000 deaths from measles occurred in 2007; of these, 136,000 (69%) occurred in the 
WHO South-East Asian Region."

More info on the rise in measles among non-vaccinated children:  http://www.visualdxhealth.com/info/health_article/2008/11/22/vaccine-exemptions-linked-spike-measles-cases
Vaccine Exemptions and Measles Outbreaks:
In April of 2008, 19 measles cases were reported in Washington
state. Sixteen of these cases (84%) were school-aged children who were
not vaccinated because of a parent's religious or philosophical belief
against vaccination.In May of 2008, there were 30 confirmed cases of measles in
Illinois. Of these cases, 25 (83%) were school-aged children who were
not vaccinated because of parental beliefs.Many states lack vaccination requirements for children who are
homeschooled, and those states with such requirements may not actively
enforce them. As a result, national reportable data for the US is
incomplete at best.A JAMA study published in
1999 observed that in all states, individuals not vaccinated were 35
times more likely to contract measles than those who received
vaccination.
And here's a BBC news article about measles outbreaks in England and Germany following a drop in vaccination rates:
http://news.bbc.co.uk/1/hi/health/7872541.stm
"Measles should not be taken lightly as you can never tell who will
go on to develop the more serious complications of pneumonia and
encephalitis."She said it was "never too late" to get the MMR vaccine.The figures come as a report from the World Health Organization
on a measles outbreak in Germany in 2006, in which two children died,
found 80% of those who had caught the infection were unvaccinated. Dr Peter Strebel, an immunisation expert at the WHO, stressed
that even in countries with good health services, measles could be very
serious.
Parents and doctors need to be reminded that measles is a highly contagious disease," he said.  "Even healthy and well-nourished children, if unvaccinated, are
at risk of measles and its complications such as pneumonia,
encephalitis and, although rare, death."


Here is the CDC website on smallpox:  http://www.cdc.gov/features/SmallpoxEradication/

The global eradication of smallpox in 1977 ranks as one of the greatest triumphs in medicine.  

			The
eradication of smallpox represents one of the greatest accomplishments
in modern medicine, science and public health. Today, 30 years after
the last patient was diagnosed and treated, we celebrate the hard work
and dedication of scores of workers around the world who contributed in
the global eradication effort.  Smallpox has always been feared. A serious, contagious,
and sometimes fatal infectious disease, it was known to kill up to 30%
of its victims and to leave numerous others pitted with scars for life.
There was no vaccine or treatment until the end of the 18th century,
when Edward Jenner invented smallpox vaccination, and the idea of
vaccination itself.  
			While the disease was largely controlled
in Europe and North America by the mid-20th century, it took a
concentrated, worldwide effort combining mass vaccination with close
surveillance over many years to finally stamp out the disease. The last
case of smallpox in the United States was in 1949, and the last
naturally occurring case in the world was in Somalia in 1977. 

Here's the CDC website for diphtheria:  http://www.cdc.gov/ncidod/dbmd/diseaseinfo/diptheria_t.htm

Incidence
                              
Approximately 0.001 cases per 100,000 population in the U.S. since
1980; before the introduction of vaccine in the 1920s incidence was
100-200 cases per 100,000 population. Diphtheria remains endemic in
developing countries. The countries of the former Soviet Union have
reported >150,000 cases in an epidemic which began in 1990.


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