Is it possible to run AppCode with Java 7?
Sorry for the late reply.
Technically it is possible to run AppCode with Java 7 (though it is not supported configuration for the IDE). You can manually edit plist file /Applications/AppCode.app/Contents/Info.plist (saved original version). There is a parameter JVMVersion that can be set into higher version.
The plroblem is that JDK 7 has rather different implementation of UI stack and there are number of artifacts with such a rich UI client application as AppCode. Just released JDK 8 works better though it also has some minor visual issues. We're considering moving to the modern releases of JDK by the next major release of AppCode.