The FPGA manufacturers say if you use a 'soft core', that is, a microcontroller written in VHDL, then that VHDL design can be implemented on any future programmable FPGA hardware, thus freeing you from the likelyhood of any particular piece of hardware going out of production.
To buy that argument, you would need to assume that programmable hardware will continue to be available over your timespan (which is probable), and will continue to be available in chip sizes, costs and voltages that will suit your product (which I find harder to believe). To use this approach, you would have to accept that you may need to do a new hardware design to accept a new package, which kinda defeats your object of no major changes.
My approach, and my advice would be, to isolate your control processing from the rest of the circuitry on a small board, and define your own interface to it, the fewer pins the better. Perhaps SPI makes a suitable interface, or a nybble bus with data read/write and address strobes. Then if your chosen processor becomes obsolete during the product lifetime, you only have to redesign and test a small board, rather than a large board with vital analogue product functions on it.
Program the control processor in C, to isolate you from changes to assembly code, should you have to change manufacturers.
Choose a suitable voltage, I'd prefer 3.3v to 5v for instance.
When you choose your small control board, you could do worse than to pick a form factor that matches an available Arduino or PIC dev board. Then, your development and prototyping get a leg-up, and you could even start low run production with bought modules before designing a lower cost replacement.