The IA-32 instruction set is usually described as CISC (Complex Instruction Set Computer) architecture, though such classifications have become less meaningful over time.
The set is implemented in all x86 CPUs newer than the 80386. IA-32 programs run in protected mode which has memory protection, the possibility to use memory above 640K (MS-DOS limit), virtual memory and multitasking. IA-32 programs can access a 4GB linear address space.
Each generation of CPUs since has added several features to this set:
All of the four following registers may be used as general purpose registers. However each has some specialized purpose as well.
Real mode Instructions (8086/8088 compatibility) are:
aaa, aad, aam, aas, adc, add, and, call, cbw, clc, cld, cli, cmc, cmp, cmpsb, smpsw, cwd, daa, das, dec, div, esc, hlt, idiv, imul, in, inc, int, into, iret, jajae, jb, jbe, jc, jcxz, je, jg, jge, jl, jle, jmp, jna, jnae, jnb, jnbe, jnc, jne, jng, jnge, jnlm, jnle, jno, jnp, jns, jnz, jo, jp, jpe, jpo, js, jz, lahf, lds, lea, les, lock, lodsb, lodsw, loop, loope, loopne, loopnz, loopz, mov, movsb, movsw, mul, neg, nop, not, or, out, pop, popf, push, push, puchf, rcl, rcr, rep, repe, repne, repnz, repz, ret, rol, ror, sahf, sal, sar, sbb, scasb, scasw, shl, shr, stc, std, sti, stosb, stosw, sub, test, wait, xchg, xlat, xor (please de-typo)
This is the full 8086-8088 instruction set, but most, if not all of these instructions are available in 32-bit mode, they just operate on 32 bit registers (eax, ebx, etc) and values instead of their 16-bit (ax, bx, etc) couterparts. See also x86 assembly language for a quick tutorial for this chip.
There is also another mode in which the processor acts as a pure 32-bit processor - protected mode. This mode was introduced with the 80386-processor (actually, the 286 processor, but the 286 still used 16 bit registers).