The National Vaccine Injury Compensation Program covers the common vaccines, including for influenza.
https://www.hrsa.gov/sites/default/files/hrsa/vaccine-compensation/data/data-statistics-report.pdf
For covid: https://crsreports.congress.gov/product/pdf/LSB/LSB10584 <- read this
See Countermeasures Injury Compensation Program
Thanks for the info!
Check out the 40% compensation rate for claims so far.