Originally posted by MrsG
If you have time, then I really recommend the Aran Isles. You can take a ferry to Inis Mor and hire bikes or just go hiking. It's great for a day trip.
Enjoy your trip 
You can also fly to the Aran Islands - after all that's where Aer Arann started.
I'd thought about Connemara (weather permitting), just wasn't sure about time and distances. We're staying at the St Clerans hotel near a village called Craughwell, about half an hour east of Galway City. Is this too far east to get out to Connemara for a day? And is the city worth a look, or one to be avoided?
Connemara is very do-able even from Craughwell. There are some lovely harbours such as Roundstone, and Clifden is about an hour from Galway and lies snuggling in a valley. There used to be an hotel there called the Alcock and Brown and of course near there is the very spot they landed after the first transatlantic trip, thereby signalling the start of VS. [y]
The Burren and the north Clare coast, including the Allwee caves would also be very accessible and in fact you may well find that area touted in Craughwell rather than Connemara