PAUL ELIAS ALEXANDER listed in his Brownstone Institute article numerous studies that show the vaccines are not effective.

The Lancet Infectious Diseases October 202110 — Fully “vaccinated” individuals who develop breakthrough infections have a peak viral load similar to that of unvaccinated people, and efficiently transmit the infection to unvaccinated and “vaccinated” alike in household settings.
The Lancet Preprint11 — Fully “vaccinated” Vietnamese health care workers who contracted breakthrough SARS-CoV-2 Delta infections had viral loads that were 251 times higher than those found in cases infected with earlier strains. So, the shots do not appear to protect against infection with the Delta strain.
A July 31, 2021, medRxiv preprint by Riemersma et. al.12 found no difference in viral loads between unvaccinated people and those “fully vaccinated” who developed breakthrough infections. They also found the Delta variant was capable of “partial escape from polyclonal and monoclonal antibodies.”
Eurosurveillance rapid communication, July 202113 — An outbreak of the Delta variant in a hospital in Finland suggested the shots did little to prevent the spread of infection, even among the “vaccinated,” and despite routine use of face masks and other protective equipment.
Eurosurveillance rapid communication, September 202114 — An upsurge of Delta variant infections in Israel, at a time when more than 55% of the population were “fully vaccinated,” also showed the COVID shots were ineffective against this variant. The infection spread even to those who were fully jabbed AND wore surgical masks.
The Lancet Preprint, October 202115 — This Swedish study found the Pfizer injection’s effectiveness progressively waned from 89% on Days 15 to 30, post-injection, to 42% from Day 181 onward. As of day 211, no protection against infection was discernible. Moderna’s shot fared slightly better, waning to 59% as of Day 181. The AstraZeneca injection offered lower protection than Pfizer and Moderna from the start, and waned faster, reaching zero by day 121.
BioRxiv September 202116 — Six months after the second Pfizer shot, antibody responses and T cell immunity against the original virus and known variants was found to have substantially waned, in many cases reaching undetectable levels.
Journal of Infection August 202117 — When the Delta variant was the cause of the infection, neutralizing antibodies had decreased affinity for the spike protein, while antibodies that worsen infection had increased affinity.
The Lancet Infectious Diseases November 202118 — 26% of patients admitted to hospital with confirmed severe or critical COVID-19 were “fully vaccinated;” 46% had a positive COVID test but were asymptomatic, 7% had mild infection and 20% had moderate illness. So, among those who developed symptoms of infection, the majority ended up with severe or critical illness.
medRxiv August 202119 — People with no previous SARS-CoV-2 infection who got the Pfizer shot had a 5.96-fold increased risk for breakthrough infection and a 7.13-fold increased risk for symptomatic disease, compared to people who had natural immunity.

Sources

10The Lancet Infectious Diseases October 29, 2021 DOI: 10.1016/S1473-3099(21)00648-411Lancet Preprint, Transmission of SARS-CoV-2 Delta Among Vaccinated Health Care Workers, Vietnam October 11, 202112medRxiv July 31, 2021, DOI: 10.1101/2021.07.31.2126138713Eurosurveillance rapid communication July 2021; 26(30)14Eurosurveillance rapid communication September 2021; 26(39)15The Lancet Preprint October 25, 202116BioRxiv September 30, 2021 DOI: 10.1101/2021.09.30.46248817Journal of Infection August 9, 2021 DOI: 10.1016/j.inf.2021.08.01018The Lancet Infectious Diseases November 1, 2021; 21(11): 1485-148619medRxiv August 25, 2021 DOI: 10.1101/2021.08.24.21262415