Stack-based microprocessors tend to perform worse than register-based ones and I assume there wasn't a huge reason to develop a Java-on-chip for a "Java computer.” (1) It would have not run non-Java software easily and (2) the future of stack-based microprocessors wasn't as bright.
Sun also produced the MAJC[0] (Microprocessor Architecture for Java Computing) processor, a VLIW design. It was only used in one of Sun's graphic boards.
e.g. The PSC 1000 microprocessor (1994) could run Java directly: https://en.wikipedia.org/wiki/Ignite_(microprocessor)
Stack-based microprocessors tend to perform worse than register-based ones and I assume there wasn't a huge reason to develop a Java-on-chip for a "Java computer.” (1) It would have not run non-Java software easily and (2) the future of stack-based microprocessors wasn't as bright.