See I'm on the other end of the scale, I find the RPI too much hassle for what it is as its a jack of all trades, master of none and its emulation quality is a bit pish due to the baked in lag the architecture brings. Then you've got to consider a controller, case etc.. and it all costs in time as well as money.
The PSC is a far better alternative for everything upto arcade and actually has decent controllers, quick booting and way less faff as its pretty much plug and play for £30.
The SNES Mini aced it out of all of them in every respect but a properly done Amiga would be worth checking out but I'd much prefer a Dreamcast Mini, even if it were slightly expensive and had digitally delivered games as we've seen it can be emulated nicely with a Shield TV.