Allot of good discussion here even though it moved away from part numbers for CPU's that are not affected by this "design" whether the CPU is working as designed or not, but allowing exploits.
I guess I want to know what systems explicitly do not have this issue? If it means going back to my Mac Plus with 2 floppy drives and a Motorola Processor; Or it means going back to a Power PC? or an Intel itanium, or god forbid a Sparc Station or a Dec Alpha workstation or an SGI indigo2.
Intel, AMD and Arm are not the only companies out there with CPU's.
I could have allot of fun with half a dozen Sparc Stations....
Because the question is obtuse and doesn't paint a picture of what you want to accomplish. If it is a paranoid "What can I run that won't have this security flaw", then the Pentium MMX or Itanium. Every other CPU including a Sparc, Alpha (as a lot of their CPU design went into the Athlon, even the SGI (but not the Cray Supercomputers), Power PC and so on has this security flaw. Basically anything from 97 on and like I mentioned with some of the small market stuff even before that. It's not even really a security flaw. OoO execution with multiple pipelines, is an important part of CPU development and it's process's like that, that are going to take us into the next stage of CPU's. So almost 20 years after implementation someone found a way that it can be exploited. Besides the potential on all but Meltdown, the actual abuse is very limited and while the repercussions about finding the exploit might last for years, the security risk now is pretty minimal. Cept for Meltdown. Even with Meltdown the potential for security risks is quite limited as even worse case scenario on a desktop the potential the data that can be accessed is only really of use of use on the computer, which means physical access which means you have already been compromised. The only situations that are at any real risk is on servers, specifically VM's, and specifically VM servers that are hosting VM's with users with administrative access that are also hosting other people's or sensitive servers. So Cloud server organizations or large corporations with VM farms that give employee's development VM's.
So if this is about avoiding CPU's that will possibly see a large hit on performance. Stay away from Intel x86 computers that running an Windows 7 or newer. OSX or any recent Linux Kernel. Those will be patched for Meltdown and some Spectre like attacks and the Meltdown patches are the ones that you will lose performance in (which can't really be measured at this point but most consumer use cases should see a minimal hit).
Or do the sane thing. Get a modern CPU. Understand that Ryzen for example isn't susceptible to Meltdown. So get that if you want to avoid the big issue which is a bad bug in Intel CPU's. Or get a Coffee Lake and understand that even after the patches and knowing that it has the rights bug, that it will still be pretty much the fastest consumer processor.
But more power to you if you are comfortable running Windows 95 on a Pentium MMX.