Grab a ferry from the Doolin pier and visit one of the three Aran Islands (the most common to visit is Inis Mor). Once you arrive you can explore the island on a guided tour or rent bikes and go exploring on your own.
The most southerly point of the Cliffs of Moher in County Clare, Ireland, where the cliffs form an unusual rock formation that resembles a woman's head looking out to sea.
Kilkee is a small coastal town popular as a seaside resort. Good spots to visit are Naughton’s Bar, Murphy Blacks and Ennis
Doonbeg is a 1 hour drive from Doolin. It's a village in west County Clare surrounded by dramatic scenery and has an amazing golf course with great views.
Limerick City (1hr drive from Doolin or a 3hr bus ride from Dublin) is Ireland’s third largest city with a lot of history. There is a lot of things to do such as King Johns Castle, watch a Rugby game live, St. Mary's Cathedral, Limerick Milk Market and Lough Gur.
Bunratty Castle has tours as well as dinner banquets which includes a show. You also have to stop by Durty Nellies for a pint of Guinness and some Curry Chips!