We currently use GHCJS 8.6.0.1 from the miso repo (link).
It seems to be possible to use GHCJS 8.10 (link).
However, there may be issues with build time and bundle size (ghcjs/ghcjs#821) that can be fixed (ghcjs/ghcjs#821 (comment)).
There's JavaScript FFI backend documented for GHC 9.8.1 (link).
Additionally, there are docs on JS for GHC 9.9 (link).