I'm curious what those would be in the modern era?
The "non-PC" x86 chips I can think of:
80186/188 - Sort of predates the IBM hegemony, can be hammered into shape by adding replacements for onboard peripherals 80376 - a failed long-gone experiment 386CX/EX - not entirely sure how incompatible they are Xeon Phi/Larrabee/Knight's Corner designs -- not really SoCs so much as special purpose acceleratirs.