The Imperial hotel is ideally located for an activity break, with walking, cycling, golfing, bird watching and  fishing trips all available.  
Cliffs of Moher, the Doolin and Ailwee Caves, the Burren and the surf beaches of Lahinch and Fanore are all nearby.

For a very useful selections of walks and trails, we recommend the Burrengeopark website, which has some excellent material.
They also have a useful app for both iPhone and Android.

Sample map below, courtesy of Burren Geopark