There is no zero evidence that vaccines have anything to do with autism. There are a ton of studies to show that. It's unfortunate that the symptoms of autism show up at the same age that we give vaccines.
To add to the "problem" the definition of autism has changed over the years and now include many more children. So we changed the definition to include more children and people are surprised that the rate of autism suddenly jumped.
Andrew Wakefield study (if you can call it that) has been discredited and it was found that he had undisclosed financial conflicts of interest outcome of his study.
The vaccines and autism crowd keep moving the goal post so to speak, prove that mercury didn't cause autism and remove it just to be safe, well it's the number of shots, prove that it isn't the number of shots, then it's the amount of vaccines given at one time that cause it, prove it's not the number of vaccines given at one time, they say... and on and on.
The truth is we give vaccines about the same time as when you'd notice autism in children, we had in increase in the number of autism cases because we've redefined the term to include more people. By not vaccinating we are now seeing a marked increase in disease that could be prevented. After generations of our children being vaccinated we really haven't had to deal with diseases like rubella, polio, measles, mumps, chickenpox, whooping cough, and typhoid, people forget how bad they are, then when the rate of autism increases (do in the change in definition) something must be to blame and since vaccines are given at about the same time as people notice autism symptoms people conclude, wrongly, that it must be the vaccines. There is no correlation, it like saying most people who commit crime have eaten bread before committing their crime. It is a factual statement but it doesn't mean eating bread causes people to commit crimes. No more than drinking water causes crime, I could make a link between water consumption and autism, solid food and autism, tv and autism, barney and autism etc. Take anything a child of that age does and you can point to it and say that is the cause of autism, just because x happens doesn't mean it causes y to happen also.