Vax Trials pdf
Phase 3 trials for all vaccines end in 2023.
For now there are just some small phase 1 and 2 trials, and there will be some bigger phase 2 trial results in the summer.
Nasty results in december 2020 though...
http://www.uphs.upenn.edu/cep/COVID/mRNA%20vaccine%20review%20final.pdf