Sort of - the Isle of Man raises its pensions annually as a result of its government's commitment to the same 'triple-lock' principle as the UK, most recently this February.
Many states link their pension rises to some function of average earnings and/or CPI, for example Australia, as described in this HoC briefing paper on the triple lock:
The IFS suggested an alternative system which would ensure that growth
in the state pension:
- did not fall behind earnings (as it would with price indexation);
- protected pensioners from real cuts to income in periods when real
earnings fall (as would occur with straightforward earnings
- did not exceed growth in earnings in the long-term.
That combination of policy objectives could be achieved by linking the
state pension to a fixed minimum proportion of average earnings, a
system in operation in Australia. The state pension would be uprated
with earnings, but with temporary price-indexation when inflation
exceeded wage growth. Price indexation would continue once earnings
growth again exceeded inflation, but only for as long as the value of
the state pension remained above the original fixed minimum proportion
of average earnings. Indexation would then revert to earnings.
However, with regard to the exact 'triple-lock' scheme used by the UK, I am unable to find any countries which maintain a similar guarantee. Indeed, a paper published by City, University of London describes the UK scheme as "unique", leading me to believe that indeed no other country operates its pension rises under this principle.