C64 Machine Code, 2 Bytes
D0 FE
Branches to itself if the zero flag is not set.
Branches are single-byte offsets from the next instruction location, and 254 is -2 in two's complement... the BNE instruction (D0) takes one byte of memory, and the offset takes a second byte, so branching two bytes back branches back to itself. The zero flag is always cleared when code is loaded into memory.
Note that this is not a recursive subroutine call, so you will never run out of memory. Also note that there is no header, compiler, or executable overhead... it is truly a two-byte program :)
James King
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