I didn't think of it as obscure at the time, but it's certainly turned out that way now.
GWY - Galway, Ireland. Flew here from CWL on Aer Arann in 2007.
Aer Arann is now defunct and the airport has since closed to commercial traffic. I don't think it will reopen as the Irish Government is trying to push the domestic market into five regional airports plus Dublin, for Galway this is Shannon Airport - just over an hours drive away (GWY was 10 minutes from the town centre).
Such a shame as it really added to the experience of visiting Galway - a tiny airport with a tin shed for a terminal. Immigration was just at a desk like rental cars and worked on the honour system (a friend and I were travelling on AU passports and stopped to check if we needed to talk to him, and he stamped our passports and handwrote our visas).