- Apple ID
- Apple Online Store
- App Store
- Bug Reporter/Radar
- iCloud Apps e.g. Mail.
- iTunes Connect
- iTunes Store
- WWDC
Pretty much all of the internal apps will be in Java unless they are using off the shelf software e.g. discussions. In addition you would have all of the companies they acquired and whatever tech stacks they use e.g. Siri.
I have no idea where the idea of Java 6 being in use comes from.
Possibly from confusion with the last time Apple actually shipped a JDK/runtime to the public. They used to produce their own optimized distribution, which had better Cocoa widgets among other things. It was part of the original big push to get decs on OSX, it’s mentioned in Jobs’s keynotes etc. They later deprecated it once they reached critical mass, and discontinued it; if i remember correctly, the last jdk they shipped was a v6.