Another option might be running the following commands:

In order to install java 11:

sudo amazon-linux-extras install java-openjdk11

For java 8 you can try:

sudo yum install java-1.8.0-openjdk

Finally, if you want to switch between java versions run:

sudo alternatives --config java

Corretto is a build of OpenJDK. OpenJDK is source code that can be compiled into binaries by anyone. So if you want to install OpenJDK in Amazon Linux 2023, Corretto is a good choice.

Actually, Corretto identifies itself as OpenJDK:

$ sudo dnf install java-21-amazon-corretto
...
$ java --version
openjdk 21.0.1 2023-10-17 LTS
OpenJDK Runtime Environment Corretto-21.0.1.12.1 (build 21.0.1+12-LTS)
OpenJDK 64-Bit Server VM Corretto-21.0.1.12.1 (build 21.0.1+12-LTS, mixed mode, sharing)

See also: https://docs.aws.amazon.com/linux/al2023/ug/java.html

Corretto is a build of the Open Java Development Kit (OpenJDK) with long-term support from Amazon.

Historically, AL 2023 has provided extra OpenJDK packages, but they have been removed with release 2022.0.20220810:

In this release, we have removed the remaining openjdk packages, as we have shifted Amazon Linux 2022 to use Amazon Corretto as the JVM in the distribution.

• https://docs.aws.amazon.com/linux/al2023/release-notes/relnotes-2022.0.20220810.html

(The comments on the questions already contain lots of helpful information. Adding this answer anyway as a summary with references for future visitors.)