I haven't used VSCode enough to consider myself knowledgeable about it's syntax highlighting or auto-indentation, so caveat emptor.

I use CoC.nvim using the coc-tsserver plugin to get Typescript completion/jump to definition etc, ALE to get ESLint warnings, HerringtonDarkholme/yats.vim (A Typescript syntax, Neovim comes bundled with this, but the bundled version might be out of date), and maxmellon/vim-jsx-pretty for JSX syntax highlighting and indentation (vim-jsx-pretty's auto indentation is not 100%, but it works well enough).

My colorscheme is tomasiser/vim-code-dark, in case that matters. Example screenshot: https://i.imgur.com/6UzKtU2.png