Hillwalk Tours offer self-guided, multi-day hikes along the Burren Way, which passes through Doolin.

 http://www.hillwalktours.com/hiking-ireland/burren-way-overview

Rock climbing is becoming a popular sport in the Burren - routes are traditional and offer stunning views of the Burren and the Cliffs of Moher. The closest and some of the most popular Burren routes are located at Alihee's, only three miles up the coast towards Fanore. There is also good bouldering on Doolin's rocky shore a short walk form Doolin village

Pony trekking is available in Doolin and nearby Ennistymon. Trails rides vary from an hour to the day, offering a unique perspective in exploring the Burren and the Cliffs of Moher. There is a horse riding centre 3 miles Doolin called mountainview horseriding centre that offers trips into the Burren, up mountains, and down to the beach. http://www.mountainviewtrekking.com/