There have actually been quite a few studies that get into plausible associations between vaccines and autism. There's a website that claims to have "a list of abstracts from 239 papers demonstrating the multiple associations between vaccines and autism"
I personally haven't counted the papers in question, but it certainly does appear to be quite a few. Feel free to take a look:
The Body of Research Supporting Vaccine Autism Causation
howdovaccinescauseautism.org
What I'd like to stress is that no one, to my knowledge, has ever claimed that vaccines are the -only- cause of autism.