Examples of complex manifolds satisfying the Kodaira-Spencer condition for unobstructed deformations

Question

The theorem of existence proved by Kodaira and Spencer shows that a complex manifold $M$ for which the second cohomology group $H^2(M, \Theta T^{1,0} M)$ is trivial, $\Theta T^{1,0} M$ being the sheaf of germs of holomorphic vector fields over $M$, has unobstructed deformations. In the hope that this result isn't effectively vacuous, what are some examples of complex manifolds satisfying this condition?