For an unique history lesson, check out the crumbling remains of Asklepion and try to imagine how it looked in its heyday.
You'll find this once-important structure in Kos Town. If you're sticking to a budget, you'll be happy to know it's free to visit. Once you've explored Asklepion, check out some attractions nearby. Tigaki Beach, Agios Fokas Beach and Tree of Hippocrates will keep you busy.