You sound a little confused here. An enterprise application server or EAS is a piece of software that can host applications, but doesn't bring any with it. EAS are complex programs that have to implement and support a multitude of specifications for the apps that are going to run on them. Many of them are already open source, and there should be very little need for new ones.
What you seem to want is some ecosystem of software that may or may not run on an EAS, which satisfies your list of high level requirements.
Childhood trauma. Being aware of your surroundings just becomes the default mode.