Quandles can be regarded as a generalization of symmetric spaces. In the theory of symmetric spaces, two-point homogeneous Riemannian manifolds play fundamental roles. Similarly, two-point homogeneous quandles are expected to form a fundamental class of quandles due to their origin. In this paper, we provide evidence supporting this expectation by demonstrating two properties of finite two-point homogeneous quandles. The first property is about the number of compatible topologies. The second is about the symmetry-commutative numbers. Both numbers can be considered to measure the complexities of quandles in some sense. We prove that two-point homogeneous quandles achieve the minimum values for these numbers, indicating that they have the lowest possible complexities according to these criteria.