Apollo Vampire V4 standalone is a "modern" FPGA implementation of a 68k Amiga that is nearly 100% Amiga compatible but much, much faster and with updated graphics etc. http://www.apollo-core.com/v4.html
So: MiSTer if you're looking for an authentic Commodore Amiga experience and want to play old games etc, Vampire if you have a lot of money to spare and want to do "modern" things on a classic Amiga (fancier games, MP3 and video playback...)
You should also consider that Amiga emulation is very accurate and fast these days and you could just get a Raspberry Pi running UAE which would be mostly indistinguishable from the FPGA reimplementations once you're up and running.
Where FPGA really shines is in producing a consistent timing model and the associated performance quirks (such as slowdown in video games).
https://rmcretro.store/multisystem-board-only/
And a review of this set of parts from Anthony of LTT:
The maker still apparently sells them on Amibay[2].
[1]https://eab.abime.net/showthread.php?t=93869
[2]https://www.amibay.com/forum/want-to-sell/hardware-for-sale/...
* The MiSTer FPGA computer supports an Amiga core.
* The Vampire V4+ Standalone, another FPGA-based system, is pretty much the ultimate 680x0 (compatible) Amiga. Both it and the MiSTer are going to more closely approximate the original Amiga hardware by having the FPGAs configured to mimic the custom chips, but they are a little pricey.
* If you don't mind an emulated system, or need to go cheap, then a Raspberry Pi with PiMiga might do. When you consider that the Raspberry Pi 400 is literally today's version of an Amiga 500 form factor, it makes sense.
If you wanted a modern Acorn Archimedes this is also easily had with a Raspberry Pi: simply boot the Pi port of RISC OS!
However, games back in the day hade been made for digital joysticks — which (I personally, find) are more accurate on diagonals than D-pads are. So, I think that a retro-joystick (such as the TheC64 Joystick from the same company) or vintage joystick with USB adaptor would be a must for the authentic experience.