A list of devices which are able to run recent versions of Bitcoin Core. Note that these devices have *not* been tested to meet (currently undetermined) minimum specifications.
Desktop/Laptops
All Intel architecture 32-bit and 64-bit PCs and Macs. Pre-compiled executables are available from Bitcoin.org for Windows, OS X, and most popular Linuxes. Users can compile executables for other Linuxes and the BSD-derived operating systems.
ARM-based Chipsets
Raspberry Pi v1 running Raspbian or another Linux, although it will run very slowly and the initial block chain sync may take more than a week.
Raspberry Pi v2 running Raspbian or another Linux. Being about six times faster than the original RPi, it has the potential to be much more usable.
ODroid U2 running Linux, although it's “not reliable due to thermal issues”
Novena (Cortex A9) running Linux