It really depends on what you value.
For accessibility, x86/x64 is simple because you can do it right on your PC. This means fewer headaches -- debugging your assembly code is a lot easier when its running on your host, and its also easier to write the high-level parts of your program in, say, C or C++, without the slight pain of dealing with cross-compilers, deployment to a device, etc. ARM, in the form of a raspberry Pi is also a good choice for the same reasons (With the Pi being a complete, if modest, linux-based PC).
What you don't on either of those platforms is unfettered access to the machine. If you're interested in that, you probably want something like an arduino or another microcontroller kit -- something where you can run bare-metal without an OS. Depending on your platform, this experience may or may not be super-transferable to larger devices if that's a goal; for example, many small microcontrollers have no caches (or very simple caches), and CPU clock-speeds low enough that RAM access is essentially single-cycle -- which is not at all true of PCs or even many higher-end microcontrollers. The Pi makes another showing here -- Its reasonably documented now, and I've seen material on programming it bare-metal-style; the only downside is that its a lot to try to understand and in many ways its more accurate to say that the Pi's SOC is a GPU that happens to have a CPU, rather than the other way around. For my money, the Gameboy Advance is a good platform in this space -- Its very well-documented by the homebrew community, tools are readily available (emulators are a great resource), the hardware capabilities are interesting but not overwhelming in complexity or number. Bonus: you can distribute what you create as a ROM if you're interested in creating complete games, or even play on a real GBA.
Going full-retro, its hard to recommend against the C64 (6502) or Amiga (if you want to go 68k) -- either are very interesting, very capable, and very well-documented machines with communities that are still going strong. For their times, either one can be said to be a paragon of hardware design not just for how much they were capable of, but for how elegantly they achieved it.