I usually go with temurin, I like there policies.

About what version should you use, if you are deploying whatever you are doing, i would stick to the latest TLS(Currently 17). But if you are trying to make an app that expects people to have a JRE, then probably using the 8 TLS would be a better option and easier for users to deal with (Unless you are targeting programmers or linux users, then again, latest TLS would be imo best option).

I use temurin, but you're really okay with anything but oracle's jdk. You want to do what you can to avoid an Oracle audit.

Yeah, whenever I have a choice I use Temurin. Adoptium (formerly AdoptOpenJDK) deserves credit for making Windows builds of OpenJDK very easy to use.

basically anything besides Alibaba or Oracle you probably won’t notice a difference. at work I use corretto since we deploy on aws, at home I either use Temurin or Corretto. One thing benefit of Corretto is they do tend to backport some patches to older versions if you aren’t able to use the latest yet. https://whichjdk.com/

I like temurin, but for docker base images, I use Corretto as Amazon is much better about keeping it patched than the standard Temurin base image.