This[1] study suggests that there a brief period of significant reduction (~three months), followed by a period modest to no risk reduction, followed by a period of increased risk.
This[2] study found no correlation between vaccination rates and viral spread.
[1] https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3949410
A much larger study from the US [2] shows no measurable decline in the protection against hospitalization due to COVID over more than 5 months after vaccination.
[1] https://www.covid-datascience.com/post/israeli-data-how-can-...
As far as hospitalizations go, I am not arguing with that, vaccines clearly reduce disease burden. The question was: Are vaccines effective at stopping spread? Many countries are experiencing record infection rates with a large majority of the population vaccinated. This suggests to me that vaccines are not effective in that regard.