Take a day trip to the Aran Islands. Daily ferry boat and also a fast ferry from Doolin in the morning and back in the evening weather permitting. Combine a day trip to Inis Oirr with a Cliffs of Moher Cruise - or just take a one hour cruise to the Cliffs (http://www.mohercruises.com)
Visit the Cliffs of Moher, 5km to the south of Doolin.Cliffs of Moher Cruises also offer boat trips around the Cliffs of Moher.
Doolin is also a perfect starting place for visiting the Burren.