I'm guessing that you want to combine all functions into a single 28X1 chip.
If you have six free output lines on the 28X1 that handles the VMusic2, RTC, and temp sensor, you can hook up a parallel LCD directly. If you don't have six outputs, you can drive the LCD with a single serial line from the 28X1 by means of a serial-to-LCD conversion chip.
The rest of the task is "just" software.
Have fun!
Tom