(A view from the prom, at the start of our walk.)
One of my favorite spots in Galway is Barna Wood, which is the closest thing to an enchanted forest I've ever seen. Gnarled old trees, gurgling streams, great mossy rocks, the ground carpeted with dead leaves, a glorious hush...it really is a magical place.
It's only a half-hour walk (perhaps less) from the promenade! Just keep walking west, turn right at the caravan park, make a left back onto the road out to Spiddal, and keep walking 'til you see the entrance on the right side of the road.